Cremona's table of elliptic curves

14840 = 2³ · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 53+	Signs for the Atkin-Lehner involutions
Class	14840b	Isogeny class
Conductor	14840	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	78336	Modular degree for the optimal curve
Δ	-649250000000000 = -1 · 210 · 512 · 72 · 53	Discriminant
Eigenvalues	2+ -1 5- 7+ -2 -7 -1 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-117160,15523100]	[a1,a2,a3,a4,a6]
Generators	[2410:21875:8] [-230:5500:1]	Generators of the group modulo torsion
j	-173686295109670564/634033203125	j-invariant
L	5.8023355257116	L(r)(E,1)/r!
Ω	0.51422221320561	Real period
R	0.23507734013553	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29680e1 118720b1 74200s1 103880f1	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 14840b1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-1	-	+	-2	-7	-1	-7	1	-5	-8	3	-6	-2	-8	+	2	-12	-4	-1	4	5	1	-10	-13

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Quadratic twists for elliptic curve 14840b1

-4	8	5	-7
29680e1	118720b1	74200s1	103880f1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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