Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57760i |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-857375000000000 = -1 · 29 · 512 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 2 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8176,1439960] |
[a1,a2,a3,a4,a6] |
j |
-17213481368/244140625 |
j-invariant |
L |
1.6939654431731 |
L(r)(E,1)/r! |
Ω |
0.42349136065418 |
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 |
57760h1 115520ch1 57760a1 |
Quadratic twists by: -4 8 -19 |