Cremona's table of elliptic curves

3795 = 3 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	3- 5- 11- 23+	Signs for the Atkin-Lehner involutions
Class	3795k	Isogeny class
Conductor	3795	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-17315161875 = -1 · 32 · 54 · 11 · 234	Discriminant
Eigenvalues	1 3- 5- -4 11-  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,252,-6119]	[a1,a2,a3,a4,a6]
j	1779919481159/17315161875	j-invariant
L	2.4322282220992	L(r)(E,1)/r!
Ω	0.6080570555248	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	60720br3 11385f4 18975f4 41745bc3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3795k4

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

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Quadratic twists for elliptic curve 3795k4

-4	-3	5	-11	-23
60720br3	11385f4	18975f4	41745bc3	87285p3

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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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