Cremona's table of elliptic curves

12936 = 2³ · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	12936s	Isogeny class
Conductor	12936	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	73635970738176 = 211 · 34 · 79 · 11	Discriminant
Eigenvalues	2- 3+  2 7- 11-  4 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-159952,24672460]	[a1,a2,a3,a4,a6]
j	5476248398/891	j-invariant
L	2.3756319932337	L(r)(E,1)/r!
Ω	0.59390799830843	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	25872p2 103488di2 38808w2 12936ba2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 12936s2

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
-	+	2	-	-	4	-2	2	8	-6	-6	2	6	4	-6	-14	8	4	8	16	14	-4	14	12	-16

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Quadratic twists for elliptic curve 12936s2

-4	8	-3	-7
25872p2	103488di2	38808w2	12936ba2

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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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