Atkin-Lehner |
2- 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832bc |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9922560 |
Modular degree for the optimal curve |
Δ |
-2.6796384947211E+22 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11+ 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7343743,-1833917151] |
[a1,a2,a3,a4,a6] |
Generators |
[77811941:9932333056:4913] |
Generators of the group modulo torsion |
j |
167084491388439286943/102220096386760704 |
j-invariant |
L |
2.858297357313 |
L(r)(E,1)/r! |
Ω |
0.068755266773054 |
Real period |
R |
10.393012389261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128832x1 32208q1 |
Quadratic twists by: -4 8 |