Cremona's table of elliptic curves

10208 = 2⁵ · 11 · 29

Field	Data	Notes
Atkin-Lehner	2+ 11- 29-	Signs for the Atkin-Lehner involutions
Class	10208a	Isogeny class
Conductor	10208	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	-67128159481856 = -1 · 212 · 117 · 292	Discriminant
Eigenvalues	2+ -3  1  2 11-  0 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,5048,369232]	[a1,a2,a3,a4,a6]
Generators	[-24:484:1]	Generators of the group modulo torsion
j	3473136105984/16388710811	j-invariant
L	3.139758659846	L(r)(E,1)/r!
Ω	0.44383253418911	Real period
R	0.25264988303869	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	10208c1 20416a1 91872u1 112288g1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 10208a1

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
+	-3	1	2	-	0	-6	4	3	-	5	9	-10	-4	0	6	1	-14	-3	-7	-8	-6	-14	9	-5

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Quadratic twists for elliptic curve 10208a1

-4	8	-3	-11
10208c1	20416a1	91872u1	112288g1

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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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