Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dz |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-65949858742950 = -1 · 2 · 36 · 52 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2857,385557] |
[a1,a2,a3,a4,a6] |
j |
30080231/768950 |
j-invariant |
L |
3.7204531739874 |
L(r)(E,1)/r! |
Ω |
0.46505664677877 |
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 |
6370g1 8190bx1 |
Quadratic twists by: -3 -7 |