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	12936ba	Isogeny class
Conductor	12936	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	5120	Modular degree for the optimal curve
Δ	-382491648 = -1 · 210 · 32 · 73 · 112	Discriminant
Eigenvalues	2- 3- -2 7- 11- -4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-184,-1408]	[a1,a2,a3,a4,a6]
Generators	[23:84:1]	Generators of the group modulo torsion
j	-1972156/1089	j-invariant
L	4.8930426097355	L(r)(E,1)/r!
Ω	0.63161897686055	Real period
R	1.9367066178316	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	25872e1 103488v1 38808u1 12936s1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 12936ba1

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 12936ba1

-4	8	-3	-7
25872e1	103488v1	38808u1	12936s1

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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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