Atkin-Lehner |
2- 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480x |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5142528 |
Modular degree for the optimal curve |
Δ |
11034267918336000 = 216 · 36 · 53 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66733256,-209804860944] |
[a1,a2,a3,a4,a6] |
Generators |
[-362032018700:-597856896:76765625] |
Generators of the group modulo torsion |
j |
8023996232564328604273609/2693913066000 |
j-invariant |
L |
6.6111528724865 |
L(r)(E,1)/r! |
Ω |
0.052821894729269 |
Real period |
R |
10.42994403566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310e1 |
Quadratic twists by: -4 |