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	1995b	Isogeny class
Conductor	1995	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	504	Modular degree for the optimal curve
Δ	-234709755 = -1 · 3 · 5 · 77 · 19	Discriminant
Eigenvalues	0 3+ 5- 7+ -4  4 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,55,-739]	[a1,a2,a3,a4,a6]
j	18067226624/234709755	j-invariant
L	0.86426170931148	L(r)(E,1)/r!
Ω	0.86426170931148	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31920cd1 127680ch1 5985g1 9975m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1995b1

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	+	-	+	-4	4	-4	+	-3	1	-1	1	0	-4	4	6	6	8	-3	-5	3	10	6	12	12

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Quadratic twists for elliptic curve 1995b1

-4	8	-3	5	-7	-19
31920cd1	127680ch1	5985g1	9975m1	13965q1	37905s1

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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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