Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bk |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
5136443623828125 = 33 · 58 · 73 · 175 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- -5 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-43458,533693] |
[a1,a2,a3,a4,a6] |
Generators |
[219674:21180675:39304] |
Generators of the group modulo torsion |
j |
67746795520/38336139 |
j-invariant |
L |
9.2023266065214 |
L(r)(E,1)/r! |
Ω |
0.37096320589626 |
Real period |
R |
12.403287522535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475cj1 62475cy1 |
Quadratic twists by: 5 -7 |