Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190bc |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-9113832467002780 = -1 · 22 · 5 · 11 · 2310 |
Discriminant |
Eigenvalues |
2- 2 5- 3 11+ -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5830,-4598753] |
[a1,a2,a3,a4,a6] |
j |
-529/220 |
j-invariant |
L |
9.2147433820103 |
L(r)(E,1)/r! |
Ω |
0.18429486775513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58190t1 |
Quadratic twists by: -23 |