Cremona's table of elliptic curves

901 = 17 · 53

Field	Data	Notes
Atkin-Lehner	17+ 53+	Signs for the Atkin-Lehner involutions
Class	901a	Isogeny class
Conductor	901	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	168	Modular degree for the optimal curve
Δ	13800617 = 173 · 532	Discriminant
Eigenvalues	-1  0  0  2 -6  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-85,-220]	[a1,a2,a3,a4,a6]
Generators	[-4:8:1]	Generators of the group modulo torsion
j	67170974625/13800617	j-invariant
L	1.6122697072466	L(r)(E,1)/r!
Ω	1.5965166330729	Real period
R	2.0197343063609	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14416c1 57664f1 8109k1 22525g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 901a1

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

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Quadratic twists for elliptic curve 901a1

-4	8	-3	5	-7	-11	17	53
14416c1	57664f1	8109k1	22525g1	44149h1	109021l1	15317d1	47753a1

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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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