Cremona's table of elliptic curves

1995 = 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 19+	Signs for the Atkin-Lehner involutions
Class	1995h	Isogeny class
Conductor	1995	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-8916370596525 = -1 · 3 · 52 · 7 · 198	Discriminant
Eigenvalues	-1 3- 5- 7- -4 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,85,-143658]	[a1,a2,a3,a4,a6]
j	67867385039/8916370596525	j-invariant
L	1.346614512896	L(r)(E,1)/r!
Ω	0.33665362822399	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31920be5 127680q5 5985j6 9975a6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1995h6

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

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Quadratic twists for elliptic curve 1995h6

-4	8	-3	5	-7	-19
31920be5	127680q5	5985j6	9975a6	13965c6	37905j5

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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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