Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400fg |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
421200000000 = 210 · 34 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11133,-447363] |
[a1,a2,a3,a4,a6] |
Generators |
[3546:72225:8] |
Generators of the group modulo torsion |
j |
9538484224/26325 |
j-invariant |
L |
4.5559649924782 |
L(r)(E,1)/r! |
Ω |
0.46485263112739 |
Real period |
R |
4.9004401479836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400dd1 15600q1 12480cz1 |
Quadratic twists by: -4 8 5 |