Atkin-Lehner |
3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905bi |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-529316739092295 = -1 · 311 · 5 · 74 · 114 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13914,-1271025] |
[a1,a2,a3,a4,a6] |
j |
-408667158311329/726086061855 |
j-invariant |
L |
0.82968104577427 |
L(r)(E,1)/r! |
Ω |
0.20742026277013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635q1 |
Quadratic twists by: -3 |