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	3330z	Isogeny class
Conductor	3330	Conductor
∏ cp	162	Product of Tamagawa factors cp
Δ	-26973000000000 = -1 · 29 · 36 · 59 · 37	Discriminant
Eigenvalues	2- 3- 5- -1 -3 -4 -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1498,248501]	[a1,a2,a3,a4,a6]
Generators	[-39:379:1]	Generators of the group modulo torsion
j	510273943271/37000000000	j-invariant
L	4.98794548011	L(r)(E,1)/r!
Ω	0.50953925327506	Real period
R	0.54384049991679	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	26640ca3 106560bf3 370c2 16650j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330z3

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	-4	-3	2	-6	-3	5	-	-3	-1	-12	-3	0	-1	-4	-6	-16	8	12	6	17

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Quadratic twists for elliptic curve 3330z3

-4	8	-3	5	37
26640ca3	106560bf3	370c2	16650j3	123210ba3

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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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