Atkin-Lehner |
2- 3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cg |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-109501449750000 = -1 · 24 · 39 · 56 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8017,-422873] |
[a1,a2,a3,a4,a6] |
j |
2895468572277/5563250000 |
j-invariant |
L |
2.481770193261 |
L(r)(E,1)/r! |
Ω |
0.31022123388448 |
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 |
117810l1 |
Quadratic twists by: -3 |