Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bg |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
3379200 |
Modular degree for the optimal curve |
Δ |
-3240107711812787200 = -1 · 210 · 52 · 711 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,296694,60381719] |
[a1,a2,a3,a4,a6] |
j |
24550575200187119/27540461132800 |
j-invariant |
L |
6.7000519450478 |
L(r)(E,1)/r! |
Ω |
0.16750131267778 |
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 |
17710m1 |
Quadratic twists by: -7 |