Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cn |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-13010307162996780 = -1 · 22 · 311 · 5 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22059,5636385] |
[a1,a2,a3,a4,a6] |
j |
-5764801/63180 |
j-invariant |
L |
2.7154010507511 |
L(r)(E,1)/r! |
Ω |
0.33942513125727 |
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 |
19110cr1 57330q1 |
Quadratic twists by: -3 -7 |