Atkin-Lehner |
2- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10208c |
Isogeny class |
Conductor |
10208 |
Conductor |
∏ cp |
4 |
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 |
[1668:11404:27] |
Generators of the group modulo torsion |
j |
3473136105984/16388710811 |
j-invariant |
L |
7.4306260946202 |
L(r)(E,1)/r! |
Ω |
0.31176416114114 |
Real period |
R |
5.9585313361727 |
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 |
10208a1 20416d1 91872i1 112288b1 |
Quadratic twists by: -4 8 -3 -11 |