Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lh |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-117050572800 = -1 · 217 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -6 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6060,-182320] |
[a1,a2,a3,a4,a6] |
Generators |
[989:31003:1] |
Generators of the group modulo torsion |
j |
-10303010/49 |
j-invariant |
L |
6.4570194405076 |
L(r)(E,1)/r! |
Ω |
0.27047544682659 |
Real period |
R |
5.968212195088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800eu1 25200z1 11200bz1 100800pj1 |
Quadratic twists by: -4 8 -3 5 |