Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270be |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
7703531951080 = 23 · 5 · 7 · 317 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 5 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5786,101823] |
[a1,a2,a3,a4,a6] |
j |
24137569/8680 |
j-invariant |
L |
4.0724470517058 |
L(r)(E,1)/r! |
Ω |
0.67874117587237 |
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 |
2170k1 |
Quadratic twists by: -31 |