Cremona's table of elliptic curves

1445 = 5 · 17²

Field	Data	Notes
Atkin-Lehner	5- 17+	Signs for the Atkin-Lehner involutions
Class	1445d	Isogeny class
Conductor	1445	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	10258466825 = 52 · 177	Discriminant
Eigenvalues	1 -2 5-  2 -2  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2463,-46987]	[a1,a2,a3,a4,a6]
j	68417929/425	j-invariant
L	1.355960623068	L(r)(E,1)/r!
Ω	0.67798031153398	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23120bh1 92480n1 13005i1 7225e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1445d1

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	-2	-	2	-2	2	+	0	-6	6	10	-2	-10	4	12	-10	8	14	8	2	14	14	4	6	-2

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Quadratic twists for elliptic curve 1445d1

-4	8	-3	5	-7	17
23120bh1	92480n1	13005i1	7225e1	70805l1	85a1

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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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