Atkin-Lehner |
2+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832i |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
2351676476358656 = 224 · 41 · 434 |
Discriminant |
Eigenvalues |
2+ 2 2 0 -2 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-315617,-68102815] |
[a1,a2,a3,a4,a6] |
j |
13263750031719097/8970933824 |
j-invariant |
L |
3.222901271221 |
L(r)(E,1)/r! |
Ω |
0.20143130890272 |
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 |
112832v1 3526a1 |
Quadratic twists by: -4 8 |