Atkin-Lehner |
2+ 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560r |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
83968 |
Modular degree for the optimal curve |
Δ |
-6598830000 = -1 · 24 · 3 · 54 · 72 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,469,0] |
[a1,a2,a3,a4,a6] |
j |
711534442496/412426875 |
j-invariant |
L |
1.5853527066843 |
L(r)(E,1)/r! |
Ω |
0.792675976478 |
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 |
56280a1 |
Quadratic twists by: -4 |