Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475n |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
38675037177584325 = 33 · 52 · 79 · 175 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -5 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-85178,-1396312] |
[a1,a2,a3,a4,a6] |
j |
67746795520/38336139 |
j-invariant |
L |
0.60273291864811 |
L(r)(E,1)/r! |
Ω |
0.30136646398014 |
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 |
62475cy1 62475cj1 |
Quadratic twists by: 5 -7 |