Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560bh |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
15124904755200 = 214 · 36 · 52 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6528,78752] |
[a1,a2,a3,a4,a6] |
j |
2575826944/1266325 |
j-invariant |
L |
1.2433067658644 |
L(r)(E,1)/r! |
Ω |
0.62165325821941 |
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 |
106560ef1 6660e1 11840j1 |
Quadratic twists by: -4 8 -3 |