Cremona's table of elliptic curves

14910 = 2 · 3 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7- 71+	Signs for the Atkin-Lehner involutions
Class	14910l	Isogeny class
Conductor	14910	Conductor
∏ cp	26	Product of Tamagawa factors cp
deg	49920	Modular degree for the optimal curve
Δ	98283691406250 = 2 · 34 · 513 · 7 · 71	Discriminant
Eigenvalues	2+ 3+ 5- 7- -3 -3 -2  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-11672,85134]	[a1,a2,a3,a4,a6]
Generators	[-97:611:1]	Generators of the group modulo torsion
j	175880497476668041/98283691406250	j-invariant
L	3.0447495305913	L(r)(E,1)/r!
Ω	0.51824299764776	Real period
R	0.22596687597925	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	119280ck1 44730bt1 74550db1 104370bj1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910l1

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
+	+	-	-	-3	-3	-2	1	7	2	-9	3	-3	1	2	-10	10	2	-2	+	5	3	-6	10	10

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Quadratic twists for elliptic curve 14910l1

-4	-3	5	-7
119280ck1	44730bt1	74550db1	104370bj1

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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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