Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825bg |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
1589654267578125 = 37 · 510 · 74 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 0 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2235000,-1286067969] |
[a1,a2,a3,a4,a6] |
j |
173431796531200/223293 |
j-invariant |
L |
1.9756053286779 |
L(r)(E,1)/r! |
Ω |
0.12347533307923 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16275r1 48825br1 |
Quadratic twists by: -3 5 |