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
Δ	106847676723797 = 1710 · 53	Discriminant
Eigenvalues	-1  2  0 -4  0  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-29863,1910608]	[a1,a2,a3,a4,a6]
Generators	[2271:265:27]	Generators of the group modulo torsion
j	2945268712058640625/106847676723797	j-invariant
L	1.9820576839787	L(r)(E,1)/r!
Ω	0.59069380220965	Real period
R	6.7109479617501	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	14416d2 57664h2 8109l2 22525h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 901b2

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 901b2

-4	8	-3	5	-7	-11	17	53
14416d2	57664h2	8109l2	22525h2	44149j2	109021m2	15317f2	47753b2

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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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