Cremona's table of elliptic curves

1445 = 5 · 17²

Field	Data	Notes
Atkin-Lehner	5+ 17-	Signs for the Atkin-Lehner involutions
Class	1445b	Isogeny class
Conductor	1445	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1224	Modular degree for the optimal curve
Δ	-34878787205 = -1 · 5 · 178	Discriminant
Eigenvalues	1 -1 5+ -5  2  2 17-  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,717,5422]	[a1,a2,a3,a4,a6]
j	5831/5	j-invariant
L	0.75406789369051	L(r)(E,1)/r!
Ω	0.75406789369051	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	23120w1 92480cj1 13005q1 7225g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1445b1

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	-1	+	-5	2	2	-	6	-9	-6	8	2	1	4	0	-4	2	-2	-7	10	4	-8	-11	-3	2

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Quadratic twists for elliptic curve 1445b1

-4	8	-3	5	-7	17
23120w1	92480cj1	13005q1	7225g1	70805bn1	1445c1

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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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