Atkin-Lehner |
3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905y |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
123344610617230695 = 38 · 5 · 72 · 11 · 178 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1179900,-492721115] |
[a1,a2,a3,a4,a6] |
j |
249190794200766398401/169196996731455 |
j-invariant |
L |
2.3177997952073 |
L(r)(E,1)/r! |
Ω |
0.14486248721292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635m4 |
Quadratic twists by: -3 |