Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800z |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-568620000000 = -1 · 28 · 37 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 1 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77700,-8336500] |
[a1,a2,a3,a4,a6] |
j |
-17790954496/195 |
j-invariant |
L |
0.57190515337868 |
L(r)(E,1)/r! |
Ω |
0.14297628837372 |
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 |
23400bl1 15600g1 9360p1 |
Quadratic twists by: -4 -3 5 |