Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584cw |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-18643876560064 = -1 · 26 · 76 · 195 |
Discriminant |
Eigenvalues |
2- 0 3 7- 5 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-686,207858] |
[a1,a2,a3,a4,a6] |
j |
-4741632/2476099 |
j-invariant |
L |
2.7877591500388 |
L(r)(E,1)/r! |
Ω |
0.55755183003589 |
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 |
59584ci1 29792j1 1216i1 |
Quadratic twists by: -4 8 -7 |