Atkin-Lehner |
3- 5+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126945l |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
1079667225 = 37 · 52 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-277695,-56255504] |
[a1,a2,a3,a4,a6] |
j |
3248637431871751921/1481025 |
j-invariant |
L |
1.6637855802614 |
L(r)(E,1)/r! |
Ω |
0.2079732441283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42315c1 |
Quadratic twists by: -3 |