Cremona's table of elliptic curves

901 = 17 · 53

Field	Data	Notes
Atkin-Lehner	17- 53+	Signs for the Atkin-Lehner involutions
Class	901c	Isogeny class
Conductor	901	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	2530909 = 17 · 533	Discriminant
Eigenvalues	0  1 -3 -4  6  5 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-697,-7320]	[a1,a2,a3,a4,a6]
j	37501184770048/2530909	j-invariant
L	0.929054533697	L(r)(E,1)/r!
Ω	0.929054533697	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14416j2 57664t2 8109g2 22525d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 901c2

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
0	1	-3	-4	6	5	-	-4	0	0	8	8	-3	11	-3	+	12	-10	-4	3	11	-1	-6	15	2

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Quadratic twists for elliptic curve 901c2

-4	8	-3	5	-7	-11	17	53
14416j2	57664t2	8109g2	22525d2	44149a2	109021e2	15317a2	47753e2

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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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