Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190h |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-11638000000000 = -1 · 210 · 59 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 11- -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36524,-2694678] |
[a1,a2,a3,a4,a6] |
Generators |
[369:5655:1] |
Generators of the group modulo torsion |
j |
-10185584345936041/22000000000 |
j-invariant |
L |
1.5330757315781 |
L(r)(E,1)/r! |
Ω |
0.17265143578479 |
Real period |
R |
4.4398001231485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58190n1 |
Quadratic twists by: -23 |