Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48050r |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
72150078125000 = 23 · 510 · 314 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 2 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12513,350017] |
[a1,a2,a3,a4,a6] |
j |
24025/8 |
j-invariant |
L |
1.6994096739294 |
L(r)(E,1)/r! |
Ω |
0.56646989127872 |
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 |
48050h1 48050w1 |
Quadratic twists by: 5 -31 |