Cremona's table of elliptic curves

901 = 17 · 53

Field	Data	Notes
Atkin-Lehner	17+ 53+	Signs for the Atkin-Lehner involutions
Class	901b	Isogeny class
Conductor	901	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1480	Modular degree for the optimal curve
Δ	3988378313 = 175 · 532	Discriminant
Eigenvalues	-1  2  0 -4  0  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-29598,1947602]	[a1,a2,a3,a4,a6]
Generators	[90:106:1]	Generators of the group modulo torsion
j	2867554803676902625/3988378313	j-invariant
L	1.9820576839787	L(r)(E,1)/r!
Ω	1.1813876044193	Real period
R	3.3554739808751	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	14416d1 57664h1 8109l1 22525h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 901b1

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	0	-4	0	2	+	0	2	-2	-6	-10	-4	-12	8	+	-12	-8	8	6	16	14	-16	6	6

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Quadratic twists for elliptic curve 901b1

-4	8	-3	5	-7	-11	17	53
14416d1	57664h1	8109l1	22525h1	44149j1	109021m1	15317f1	47753b1

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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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