Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960by |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688896 |
Modular degree for the optimal curve |
Δ |
2161383193755600 = 24 · 3 · 52 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32445,-227568] |
[a1,a2,a3,a4,a6] |
j |
131072/75 |
j-invariant |
L |
0.38556075036943 |
L(r)(E,1)/r! |
Ω |
0.38555905793011 |
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 |
31740j1 126960bf1 |
Quadratic twists by: -4 -23 |