Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190g |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
476928 |
Modular degree for the optimal curve |
Δ |
-33354214850883520 = -1 · 26 · 5 · 113 · 238 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-72749,11580456] |
[a1,a2,a3,a4,a6] |
Generators |
[275:3382:1] |
Generators of the group modulo torsion |
j |
-543717769/425920 |
j-invariant |
L |
2.2166440802065 |
L(r)(E,1)/r! |
Ω |
0.33846460160747 |
Real period |
R |
3.274558210262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58190m1 |
Quadratic twists by: -23 |