Atkin-Lehner |
2+ 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950f |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-1.8427128758E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 0 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-695400,-690488000] |
[a1,a2,a3,a4,a6] |
j |
-2380174077466631809/11793362405120000 |
j-invariant |
L |
0.29864413449186 |
L(r)(E,1)/r! |
Ω |
0.074661033761566 |
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 |
11590g1 |
Quadratic twists by: 5 |