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	3276g	Isogeny class
Conductor	3276	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-1925144771187456 = -1 · 28 · 310 · 73 · 135	Discriminant
Eigenvalues	2- 3-  1 7+ -2 13-  4  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-17832,-2301388]	[a1,a2,a3,a4,a6]
j	-3360132358144/10315633419	j-invariant
L	1.9075770178273	L(r)(E,1)/r!
Ω	0.19075770178273	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	13104ci1 52416bo1 1092b1 81900v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3276g1

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	+	-2	-	4	1	3	-3	5	-8	10	1	13	1	8	-14	2	-4	-7	17	9	-5	13

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Quadratic twists for elliptic curve 3276g1

-4	8	-3	5	-7	13
13104ci1	52416bo1	1092b1	81900v1	22932o1	42588s1

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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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