Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496p |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
8719831020096 = 26 · 310 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5529,-69680] |
[a1,a2,a3,a4,a6] |
Generators |
[108:770:1] |
Generators of the group modulo torsion |
j |
400641542848/186896241 |
j-invariant |
L |
8.1520224115645 |
L(r)(E,1)/r! |
Ω |
0.57917438052985 |
Real period |
R |
3.518811728106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62496m1 124992ge2 20832bf1 |
Quadratic twists by: -4 8 -3 |