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
Δ	-1279291157 = -1 · 176 · 53	Discriminant
Eigenvalues	-1  0  0  2 -6  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,180,-1492]	[a1,a2,a3,a4,a6]
Generators	[49:326:1]	Generators of the group modulo torsion
j	648337611375/1279291157	j-invariant
L	1.6122697072466	L(r)(E,1)/r!
Ω	0.79825831653647	Real period
R	4.0394686127218	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	14416c2 57664f2 8109k2 22525g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 901a2

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 901a2

-4	8	-3	5	-7	-11	17	53
14416c2	57664f2	8109k2	22525g2	44149h2	109021l2	15317d2	47753a2

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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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