Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24800q |
Isogeny class |
Conductor |
24800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-15872000 = -1 · 212 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 4 -6 6 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,-197] |
[a1,a2,a3,a4,a6] |
j |
-512/31 |
j-invariant |
L |
3.8792021020252 |
L(r)(E,1)/r! |
Ω |
0.96980052550631 |
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 |
24800p1 49600cx1 24800k1 |
Quadratic twists by: -4 8 5 |