Cremona's table of elliptic curves

902 = 2 · 11 · 41

Field	Data	Notes
Atkin-Lehner	2+ 11+ 41+	Signs for the Atkin-Lehner involutions
Class	902a	Isogeny class
Conductor	902	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2520	Modular degree for the optimal curve
Δ	-1730960687104 = -1 · 218 · 115 · 41	Discriminant
Eigenvalues	2+ -2  3  1 11+ -6 -7  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2382,77312]	[a1,a2,a3,a4,a6]
Generators	[5:253:1]	Generators of the group modulo torsion
j	-1493780780062297/1730960687104	j-invariant
L	1.5657216062722	L(r)(E,1)/r!
Ω	0.76022023424518	Real period
R	1.0297815920585	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	7216h1 28864h1 8118t1 22550r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 902a1

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	3	1	+	-6	-7	1	7	-5	-3	7	+	-12	-6	-14	3	6	-12	8	0	4	12	16	-14

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Quadratic twists for elliptic curve 902a1

-4	8	-3	5	-7	-11	41
7216h1	28864h1	8118t1	22550r1	44198l1	9922e1	36982b1

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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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