Cremona's table of elliptic curves

3276 = 2² · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13+	Signs for the Atkin-Lehner involutions
Class	3276i	Isogeny class
Conductor	3276	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-111424045824 = -1 · 28 · 314 · 7 · 13	Discriminant
Eigenvalues	2- 3- -1 7-  6 13+  8  3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3288,74324]	[a1,a2,a3,a4,a6]
j	-21064523776/597051	j-invariant
L	2.102043545499	L(r)(E,1)/r!
Ω	1.0510217727495	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13104br1 52416cv1 1092c1 81900u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3276i1

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
-	-	-1	-	6	+	8	3	-9	9	-1	-8	-2	9	3	5	-8	-10	-10	12	3	-7	15	5	15

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Quadratic twists for elliptic curve 3276i1

-4	8	-3	5	-7	13
13104br1	52416cv1	1092c1	81900u1	22932v1	42588g1

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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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