Cremona's table of elliptic curves

3675 = 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	3675l	Isogeny class
Conductor	3675	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-1787538685078125 = -1 · 34 · 57 · 710	Discriminant
Eigenvalues	-1 3- 5+ 7-  0 -6  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,21412,1639917]	[a1,a2,a3,a4,a6]
Generators	[67:1804:1]	Generators of the group modulo torsion
j	590589719/972405	j-invariant
L	2.6542555471023	L(r)(E,1)/r!
Ω	0.32140703838289	Real period
R	1.0322796447057	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	58800fj3 11025x4 735a4 525a4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3675l4

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	-	+	-	0	-6	2	8	-8	-2	-4	2	6	-4	8	-10	-4	2	-4	-12	-2	8	-4	6	-18

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Quadratic twists for elliptic curve 3675l4

-4	-3	5	-7
58800fj3	11025x4	735a4	525a4

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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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