Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190l |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-7448320000000 = -1 · 214 · 57 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 11+ -7 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-804677,-278166451] |
[a1,a2,a3,a4,a6] |
Generators |
[34446:733817:27] |
Generators of the group modulo torsion |
j |
-108926524707718792009/14080000000 |
j-invariant |
L |
6.5653984229623 |
L(r)(E,1)/r! |
Ω |
0.079701058334315 |
Real period |
R |
5.8839498496136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58190f1 |
Quadratic twists by: -23 |