Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57800j |
Isogeny class |
Conductor |
57800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-167042000000000 = -1 · 210 · 59 · 174 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -4 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,622688] |
[a1,a2,a3,a4,a6] |
j |
-1156/125 |
j-invariant |
L |
1.882837291503 |
L(r)(E,1)/r! |
Ω |
0.47070932325704 |
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 |
115600p1 11560h1 57800c1 |
Quadratic twists by: -4 5 17 |