Atkin-Lehner |
2- 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115258k |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-432332758 = -1 · 2 · 113 · 132 · 312 |
Discriminant |
Eigenvalues |
2- -2 0 4 11+ 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2558,49594] |
[a1,a2,a3,a4,a6] |
j |
-10953407349625/2558182 |
j-invariant |
L |
3.2629288674725 |
L(r)(E,1)/r! |
Ω |
1.6314647723829 |
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 |
115258h1 |
Quadratic twists by: 13 |