Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190k |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-911383246700278000 = -1 · 24 · 53 · 11 · 2310 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 11+ 3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6302252,6087190016] |
[a1,a2,a3,a4,a6] |
Generators |
[1072:23224:1] |
Generators of the group modulo torsion |
j |
-668240439289/22000 |
j-invariant |
L |
7.8359867679126 |
L(r)(E,1)/r! |
Ω |
0.26128140008236 |
Real period |
R |
4.9984338505113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58190e1 |
Quadratic twists by: -23 |