Atkin-Lehner |
2- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680bc |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
515066350796800 = 221 · 52 · 115 · 61 |
Discriminant |
Eigenvalues |
2- -1 5- 2 11+ 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20080,-78400] |
[a1,a2,a3,a4,a6] |
j |
218613268577521/125748620800 |
j-invariant |
L |
1.7447786925539 |
L(r)(E,1)/r! |
Ω |
0.4361946726936 |
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 |
6710h1 |
Quadratic twists by: -4 |