Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128316h |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
128604967632 = 24 · 32 · 176 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3853,-91720] |
[a1,a2,a3,a4,a6] |
j |
16384000/333 |
j-invariant |
L |
0.60670353725568 |
L(r)(E,1)/r! |
Ω |
0.60670416026194 |
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 |
444a1 |
Quadratic twists by: 17 |