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	3276c	Isogeny class
Conductor	3276	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-127788019632 = -1 · 24 · 39 · 74 · 132	Discriminant
Eigenvalues	2- 3+  0 7-  4 13+ -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1080,10449]	[a1,a2,a3,a4,a6]
Generators	[-2:91:1]	Generators of the group modulo torsion
j	442368000/405769	j-invariant
L	3.5972124639059	L(r)(E,1)/r!
Ω	0.6813572420753	Real period
R	0.43995673167346	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	13104bc1 52416bd1 3276d1 81900c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3276c1

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

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Quadratic twists for elliptic curve 3276c1

-4	8	-3	5	-7	13
13104bc1	52416bd1	3276d1	81900c1	22932c1	42588b1

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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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