Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
75920h |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
4975493120 = 220 · 5 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1496,-21520] |
[a1,a2,a3,a4,a6] |
Generators |
[28022484:-62721737:592704] |
Generators of the group modulo torsion |
j |
90458382169/1214720 |
j-invariant |
L |
10.063098338089 |
L(r)(E,1)/r! |
Ω |
0.76823731016209 |
Real period |
R |
13.098945083341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490a1 |
Quadratic twists by: -4 |