Cremona's table of elliptic curves

665 = 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	5- 7- 19+	Signs for the Atkin-Lehner involutions
Class	665d	Isogeny class
Conductor	665	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-214587319023035 = -1 · 5 · 7 · 1910	Discriminant
Eigenvalues	-2 -1 5- 7- -3 -1  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-16660,-1081562]	[a1,a2,a3,a4,a6]
Generators	[112542:2475991:216]	Generators of the group modulo torsion
j	-511416541770305536/214587319023035	j-invariant
L	1.0781458035896	L(r)(E,1)/r!
Ω	0.20588444366099	Real period
R	2.618327505513	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	10640y2 42560v2 5985m2 3325c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 665d2

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
-2	-1	-	-	-3	-1	3	+	4	5	-8	-12	-8	4	-7	4	-10	2	-12	-8	-6	-15	4	10	-7

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Quadratic twists for elliptic curve 665d2

-4	8	-3	5	-7	-11	13	-19
10640y2	42560v2	5985m2	3325c2	4655k2	80465o2	112385g2	12635h2

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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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