Cremona's table of elliptic curves

10902 = 2 · 3 · 23 · 79

Field	Data	Notes
Atkin-Lehner	2- 3+ 23- 79+	Signs for the Atkin-Lehner involutions
Class	10902b	Isogeny class
Conductor	10902	Conductor
∏ cp	66	Product of Tamagawa factors cp
deg	19008	Modular degree for the optimal curve
Δ	-1435053459456 = -1 · 211 · 36 · 233 · 79	Discriminant
Eigenvalues	2- 3+  1  0 -4 -4  7  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,1890,-47397]	[a1,a2,a3,a4,a6]
Generators	[67:587:1]	Generators of the group modulo torsion
j	746611651164959/1435053459456	j-invariant
L	6.0023860231518	L(r)(E,1)/r!
Ω	0.44518730605553	Real period
R	0.20428534582629	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	87216i1 32706a1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 10902b1

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	-4	-4	7	6	-	-1	-4	-8	-4	-8	0	10	-10	6	8	-7	3	+	0	12	-14

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Quadratic twists for elliptic curve 10902b1

-4	-3
87216i1	32706a1

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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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