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
deg	108	Modular degree for the optimal curve
Δ	36125 = 53 · 172	Discriminant
Eigenvalues	0  2 5+ -2  3  2 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-11,-8]	[a1,a2,a3,a4,a6]
Generators	[-2:1:1]	Generators of the group modulo torsion
j	557056/125	j-invariant
L	2.9261647185117	L(r)(E,1)/r!
Ω	2.6437963354723	Real period
R	1.1068041358749	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	23120r1 92480ce1 13005m1 7225a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1445a1

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 1445a1

-4	8	-3	5	-7	17
23120r1	92480ce1	13005m1	7225a1	70805be1	1445e1

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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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