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 |