Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48050p |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
401760 |
Modular degree for the optimal curve |
Δ |
53305689840062500 = 22 · 56 · 318 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108613,8105031] |
[a1,a2,a3,a4,a6] |
j |
10633/4 |
j-invariant |
L |
1.9422513346715 |
L(r)(E,1)/r! |
Ω |
0.32370855576047 |
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 |
1922a1 48050u1 |
Quadratic twists by: 5 -31 |