Cremona's table of elliptic curves

901 = 17 · 53

Field	Data	Notes
Atkin-Lehner	17- 53-	Signs for the Atkin-Lehner involutions
Class	901f	Isogeny class
Conductor	901	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	72	Modular degree for the optimal curve
Δ	901 = 17 · 53	Discriminant
Eigenvalues	-2 -1  3  2  0 -7 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-4,-2]	[a1,a2,a3,a4,a6]
Generators	[-1:0:1]	Generators of the group modulo torsion
j	8998912/901	j-invariant
L	1.3138606460588	L(r)(E,1)/r!
Ω	3.3303214003335	Real period
R	0.3945146693431	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	14416l1 57664k1 8109e1 22525b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 901f1

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
-2	-1	3	2	0	-7	-	0	-8	-10	0	8	7	-9	1	-	-12	-2	2	-15	1	17	-8	-9	0

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Quadratic twists for elliptic curve 901f1

-4	8	-3	5	-7	-11	17	53
14416l1	57664k1	8109e1	22525b1	44149g1	109021i1	15317k1	47753h1

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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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