Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200bf |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-68800000000 = -1 · 212 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 4 -3 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,20912] |
[a1,a2,a3,a4,a6] |
j |
-121945/43 |
j-invariant |
L |
4.1372091628891 |
L(r)(E,1)/r! |
Ω |
1.0343022907223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1075g1 68800ec1 17200r1 |
Quadratic twists by: -4 8 5 |