Atkin-Lehner |
2- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23920f |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
8098355200000 = 214 · 55 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -4 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62096,-5975020] |
[a1,a2,a3,a4,a6] |
j |
6464897360855569/1977137500 |
j-invariant |
L |
0.60488251647314 |
L(r)(E,1)/r! |
Ω |
0.30244125823658 |
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 |
2990e1 95680bv1 119600bq1 |
Quadratic twists by: -4 8 5 |