Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400cd |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-5569395000000 = -1 · 26 · 3 · 57 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3383,135363] |
[a1,a2,a3,a4,a6] |
j |
-4283098624/5569395 |
j-invariant |
L |
2.7483036432734 |
L(r)(E,1)/r! |
Ω |
0.68707591013348 |
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 |
62400f1 31200bj1 12480p1 |
Quadratic twists by: -4 8 5 |