Atkin-Lehner |
3- 11- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117249i |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-3165723 = -1 · 34 · 112 · 17 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 0 11- 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,37,17] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
45056000/26163 |
j-invariant |
L |
6.63492194828 |
L(r)(E,1)/r! |
Ω |
1.5181551764506 |
Real period |
R |
1.0925961400711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117249v1 |
Quadratic twists by: -11 |