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	12936c	Isogeny class
Conductor	12936	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	32798658816 = 28 · 32 · 76 · 112	Discriminant
Eigenvalues	2+ 3+  2 7- 11+ -6 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2172,-37260]	[a1,a2,a3,a4,a6]
j	37642192/1089	j-invariant
L	1.4010898542121	L(r)(E,1)/r!
Ω	0.70054492710605	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	25872x2 103488ee2 38808cn2 264c2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 12936c2

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

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Quadratic twists for elliptic curve 12936c2

-4	8	-3	-7
25872x2	103488ee2	38808cn2	264c2

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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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