Cremona's table of elliptic curves

2964 = 2² · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 19-	Signs for the Atkin-Lehner involutions
Class	2964b	Isogeny class
Conductor	2964	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-320112 = -1 · 24 · 34 · 13 · 19	Discriminant
Eigenvalues	2- 3+  2  2 -2 13+ -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-242,1533]	[a1,a2,a3,a4,a6]
Generators	[11:9:1]	Generators of the group modulo torsion
j	-98365589248/20007	j-invariant
L	3.3289515885364	L(r)(E,1)/r!
Ω	2.9673241932258	Real period
R	0.56093493190535	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11856bf1 47424bt1 8892i1 74100bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2964b1

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	2	-2	+	-3	-	-9	-6	1	-5	-9	-1	6	-6	3	-5	9	8	-2	-4	-2	2	9

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Quadratic twists for elliptic curve 2964b1

-4	8	-3	5	13	-19
11856bf1	47424bt1	8892i1	74100bd1	38532c1	56316q1

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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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