Atkin-Lehner |
2+ 3+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810m |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
1524699508147200 = 210 · 33 · 52 · 74 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32019,1162933] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1709:1] |
Generators of the group modulo torsion |
j |
134459307419398443/56470352153600 |
j-invariant |
L |
5.8373629324446 |
L(r)(E,1)/r! |
Ω |
0.43107076263251 |
Real period |
R |
0.84634639562434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999195453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810cn1 |
Quadratic twists by: -3 |