Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506j |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-742698 = -1 · 2 · 32 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 11+ -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[10:11:1] |
Generators of the group modulo torsion |
j |
-15813251/558 |
j-invariant |
L |
3.2013148652835 |
L(r)(E,1)/r! |
Ω |
0.86499510218917 |
Real period |
R |
0.92524074910408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518bk1 22506bg1 |
Quadratic twists by: -3 -11 |