Cremona's table of elliptic curves

14196 = 2² · 3 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13-	Signs for the Atkin-Lehner involutions
Class	14196q	Isogeny class
Conductor	14196	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-3.0436284510735E+24	Discriminant
Eigenvalues	2- 3- -4 7-  0 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-85209180,-314194399596]	[a1,a2,a3,a4,a6]
Generators	[168042:21413049:8]	Generators of the group modulo torsion
j	-25203028990703632/1121144263281	j-invariant
L	4.460192649868	L(r)(E,1)/r!
Ω	0.024781073981491	Real period
R	7.4993263225787	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	56784bt2 42588ba2 99372z2 14196l2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 14196q2

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
-	-	-4	-	0	-	2	0	-4	2	-8	-8	4	8	0	6	8	-10	-8	0	4	12	8	12	-12

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Quadratic twists for elliptic curve 14196q2

-4	-3	-7	13
56784bt2	42588ba2	99372z2	14196l2

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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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