Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736cm |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
30767579136 = 218 · 36 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2124,36720] |
[a1,a2,a3,a4,a6] |
j |
5545233/161 |
j-invariant |
L |
2.3378107756545 |
L(r)(E,1)/r! |
Ω |
1.1689053589659 |
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 |
92736dx1 1449e1 10304h1 |
Quadratic twists by: -4 8 -3 |