Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570v |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
62 |
Product of Tamagawa factors cp |
deg |
142490880 |
Modular degree for the optimal curve |
Δ |
-2.912903008785E+28 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 0 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-615944868,-10101721423673] |
[a1,a2,a3,a4,a6] |
Generators |
[8297196475368153:6430367231097162257:13772224773] |
Generators of the group modulo torsion |
j |
-5354132577145462444295961/6034842084667094466560 |
j-invariant |
L |
19.11057519462 |
L(r)(E,1)/r! |
Ω |
0.014514855223814 |
Real period |
R |
21.235835909578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890e1 |
Quadratic twists by: 13 |