Atkin-Lehner |
2+ 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090n |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
4.4196586024274E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6085362,4809390516] |
[a1,a2,a3,a4,a6] |
j |
168351140229842809/29855318411520 |
j-invariant |
L |
0.78854406761554 |
L(r)(E,1)/r! |
Ω |
0.13142396506192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830a1 |
Quadratic twists by: -23 |