Atkin-Lehner |
3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
26499m |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-34222609710531 = -1 · 37 · 118 · 73 |
Discriminant |
Eigenvalues |
2 3- -3 4 11- 6 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3912,-298105] |
[a1,a2,a3,a4,a6] |
j |
-3738308608/19317771 |
j-invariant |
L |
7.6172759279995 |
L(r)(E,1)/r! |
Ω |
0.27204556885712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79497r1 2409d1 |
Quadratic twists by: -3 -11 |