Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440l |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-880403651552000 = -1 · 28 · 53 · 317 |
Discriminant |
Eigenvalues |
2- 1 5- 2 2 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24345,-2051557] |
[a1,a2,a3,a4,a6] |
j |
-7023616/3875 |
j-invariant |
L |
4.4716825572606 |
L(r)(E,1)/r! |
Ω |
0.18632010655387 |
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 |
76880k1 1240f1 |
Quadratic twists by: -4 -31 |