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
deg	4608	Modular degree for the optimal curve
Δ	139518288 = 24 · 34 · 72 · 133	Discriminant
Eigenvalues	2- 3-  0 7-  4 13- -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-173,612]	[a1,a2,a3,a4,a6]
Generators	[1:21:1]	Generators of the group modulo torsion
j	16384000/3969	j-invariant
L	6.1522189390607	L(r)(E,1)/r!
Ω	1.7279622965396	Real period
R	0.29669913088676	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	56784bn1 42588x1 99372t1 14196j1	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 14196o1

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 14196o1

-4	-3	-7	13
56784bn1	42588x1	99372t1	14196j1

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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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