Cremona's table of elliptic curves

3995 = 5 · 17 · 47

Field	Data	Notes
Atkin-Lehner	5- 17+ 47-	Signs for the Atkin-Lehner involutions
Class	3995c	Isogeny class
Conductor	3995	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	840	Modular degree for the optimal curve
Δ	-1061171875 = -1 · 57 · 172 · 47	Discriminant
Eigenvalues	0  0 5-  0  0 -1 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,88,-1535]	[a1,a2,a3,a4,a6]
Generators	[13:42:1]	Generators of the group modulo torsion
j	75365351424/1061171875	j-invariant
L	3.0340856822913	L(r)(E,1)/r!
Ω	0.7607981012197	Real period
R	0.28485928859511	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	63920g1 35955f1 19975f1 67915b1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 3995c1

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	0	-	0	0	-1	+	4	-1	0	4	8	8	-11	-	-10	3	-7	4	-11	-1	-11	-2	15	-16

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Quadratic twists for elliptic curve 3995c1

-4	-3	5	17
63920g1	35955f1	19975f1	67915b1

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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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