Atkin-Lehner |
2- 5+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
31540a |
Isogeny class |
Conductor |
31540 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
421200 |
Modular degree for the optimal curve |
Δ |
102758108500000000 = 28 · 59 · 195 · 83 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138448,-12461228] |
[a1,a2,a3,a4,a6] |
j |
1146420137104441344/401398861328125 |
j-invariant |
L |
1.2730765783059 |
L(r)(E,1)/r! |
Ω |
0.25461531566105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126160d1 |
Quadratic twists by: -4 |