Cremona's table of elliptic curves

1445 = 5 · 17²

Field	Data	Notes
Atkin-Lehner	5+ 17+	Signs for the Atkin-Lehner involutions
Class	1445a	Isogeny class
Conductor	1445	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	1445 = 5 · 172	Discriminant
Eigenvalues	0  2 5+ -2  3  2 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-861,-9443]	[a1,a2,a3,a4,a6]
Generators	[-8504:-253:512]	Generators of the group modulo torsion
j	244534214656/5	j-invariant
L	2.9261647185117	L(r)(E,1)/r!
Ω	0.88126544515744	Real period
R	3.3204124076247	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	23120r2 92480ce2 13005m2 7225a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1445a2

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	2	+	-2	3	2	+	-7	-6	3	-8	4	-9	2	-12	0	-9	7	-16	3	16	1	-12	9	-2

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Quadratic twists for elliptic curve 1445a2

-4	8	-3	5	-7	17
23120r2	92480ce2	13005m2	7225a2	70805be2	1445e2

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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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