Atkin-Lehner |
2- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59800l |
Isogeny class |
Conductor |
59800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
6831791200000000 = 211 · 58 · 135 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -5 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200875,34423750] |
[a1,a2,a3,a4,a6] |
j |
1120498796610/8539739 |
j-invariant |
L |
0.42295181387878 |
L(r)(E,1)/r! |
Ω |
0.42295181016404 |
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 |
119600j1 59800e1 |
Quadratic twists by: -4 5 |