Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600cs |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-396800000000 = -1 · 215 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 1 3 -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,30000] |
[a1,a2,a3,a4,a6] |
j |
1080/31 |
j-invariant |
L |
1.427384489541 |
L(r)(E,1)/r! |
Ω |
0.7136922451381 |
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 |
49600cn1 24800j1 49600bx1 |
Quadratic twists by: -4 8 5 |