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	3330n	Isogeny class
Conductor	3330	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	1478520 = 23 · 33 · 5 · 372	Discriminant
Eigenvalues	2- 3+ 5+  0  2 -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-638,6357]	[a1,a2,a3,a4,a6]
Generators	[-13:117:1]	Generators of the group modulo torsion
j	1062144635427/54760	j-invariant
L	4.7602588038801	L(r)(E,1)/r!
Ω	2.5373211596485	Real period
R	0.62536542865017	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	26640u2 106560o2 3330c2 16650a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330n2

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	2	-2	-2	-8	-4	-10	2	-	8	-6	6	0	-4	-4	-16	4	6	10	16	2	-8

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Quadratic twists for elliptic curve 3330n2

-4	8	-3	5	37
26640u2	106560o2	3330c2	16650a2	123210h2

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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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