Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825z |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
291977314453125 = 39 · 510 · 72 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -3 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-716250,-233314844] |
[a1,a2,a3,a4,a6] |
Generators |
[-13182:928:27] |
Generators of the group modulo torsion |
j |
5708079923200/41013 |
j-invariant |
L |
3.4218869273108 |
L(r)(E,1)/r! |
Ω |
0.16410944742398 |
Real period |
R |
5.2128122131457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16275g1 48825bz1 |
Quadratic twists by: -3 5 |