Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650bq |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
892397155761718750 = 2 · 516 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6426630,-6269029753] |
[a1,a2,a3,a4,a6] |
Generators |
[16634450:-1164460571:2744] |
Generators of the group modulo torsion |
j |
1411482371105506419/42910156250 |
j-invariant |
L |
7.1082748668533 |
L(r)(E,1)/r! |
Ω |
0.094820999286832 |
Real period |
R |
12.494199453159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730a2 78650b2 |
Quadratic twists by: 5 -11 |