Cremona's table of elliptic curves

3330 = 2 · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 37-	Signs for the Atkin-Lehner involutions
Class	3330ba	Isogeny class
Conductor	3330	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-797602399200 = -1 · 25 · 39 · 52 · 373	Discriminant
Eigenvalues	2- 3- 5- -1 -3 -7  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1138,40061]	[a1,a2,a3,a4,a6]
Generators	[291:4849:1]	Generators of the group modulo torsion
j	223759095911/1094104800	j-invariant
L	4.9721962743562	L(r)(E,1)/r!
Ω	0.64299126178331	Real period
R	0.064440951869315	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	26640cb1 106560bg1 1110g1 16650k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330ba1

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	-3	-7	3	-1	3	-6	-10	-	0	-4	12	-9	-6	-10	-10	6	11	8	-9	9	-16

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Quadratic twists for elliptic curve 3330ba1

-4	8	-3	5	37
26640cb1	106560bg1	1110g1	16650k1	123210bb1

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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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