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	14196o	Isogeny class
Conductor	14196	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-12153593088 = -1 · 28 · 32 · 74 · 133	Discriminant
Eigenvalues	2- 3-  0 7-  4 13- -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,412,4356]	[a1,a2,a3,a4,a6]
Generators	[4:78:1]	Generators of the group modulo torsion
j	13718000/21609	j-invariant
L	6.1522189390607	L(r)(E,1)/r!
Ω	0.86398114826982	Real period
R	0.59339826177351	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	56784bn2 42588x2 99372t2 14196j2	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 14196o2

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
-	-	0	-	4	-	-6	-8	4	2	0	8	0	-8	-4	-10	-4	6	-8	4	-4	12	-12	-16	-4

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Quadratic twists for elliptic curve 14196o2

-4	-3	-7	13
56784bn2	42588x2	99372t2	14196j2

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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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