Cremona's table of elliptic curves

901 = 17 · 53

Field	Data	Notes
Atkin-Lehner	17- 53+	Signs for the Atkin-Lehner involutions
Class	901d	Isogeny class
Conductor	901	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	840	Modular degree for the optimal curve
Δ	-2054594457109 = -1 · 173 · 535	Discriminant
Eigenvalues	-1  0  3 -1  0  3 17-  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-346,-68922]	[a1,a2,a3,a4,a6]
j	-4568511679857/2054594457109	j-invariant
L	1.1137725032606	L(r)(E,1)/r!
Ω	0.37125750108686	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	14416h1 57664r1 8109j1 22525e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 901d1

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	3	-1	0	3	-	1	4	-4	4	8	-6	4	10	+	-2	10	9	16	-1	2	11	-5	-8

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Quadratic twists for elliptic curve 901d1

-4	8	-3	5	-7	-11	17	53
14416h1	57664r1	8109j1	22525e1	44149c1	109021f1	15317e1	47753g1

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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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