Cremona's table of elliptic curves

14518 = 2 · 7 · 17 · 61

Field	Data	Notes
Atkin-Lehner	2+ 7- 17+ 61-	Signs for the Atkin-Lehner involutions
Class	14518b	Isogeny class
Conductor	14518	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	11872	Modular degree for the optimal curve
Δ	-13664225456 = -1 · 24 · 77 · 17 · 61	Discriminant
Eigenvalues	2+ -1 -3 7- -5 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-434,6436]	[a1,a2,a3,a4,a6]
Generators	[-16:106:1]	Generators of the group modulo torsion
j	-9073096362793/13664225456	j-invariant
L	1.6123122306937	L(r)(E,1)/r!
Ω	1.1283771433081	Real period
R	0.10206264812989	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	116144g1 101626k1	Quadratic twists by: -4 -7

Hecke Eigenvalues for elliptic curve 14518b1

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	-3	-	-5	-2	+	4	4	-1	-2	-3	-9	-8	4	4	-9	-	10	5	6	0	-4	-14	13

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Quadratic twists for elliptic curve 14518b1

-4	-7
116144g1	101626k1

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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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