Atkin-Lehner |
3+ 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
67575c |
Isogeny class |
Conductor |
67575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
743168217595359375 = 37 · 56 · 177 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 0 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-486950,-124242375] |
[a1,a2,a3,a4,a6] |
j |
817256136359958625/47562765926103 |
j-invariant |
L |
1.4510889000362 |
L(r)(E,1)/r! |
Ω |
0.18138611263035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2703b1 |
Quadratic twists by: 5 |