Atkin-Lehner |
2- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55120s |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20355840 |
Modular degree for the optimal curve |
Δ |
-2.4718713178796E+25 |
Discriminant |
Eigenvalues |
2- -3 5- 2 0 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58314307,294274021954] |
[a1,a2,a3,a4,a6] |
j |
-5354132577145462444295961/6034842084667094466560 |
j-invariant |
L |
0.97550028935883 |
L(r)(E,1)/r! |
Ω |
0.060968768186655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6890e1 |
Quadratic twists by: -4 |