Atkin-Lehner |
2- 3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320bs |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
889796689920 = 218 · 34 · 5 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4640,114432] |
[a1,a2,a3,a4,a6] |
j |
2697809628961/217235520 |
j-invariant |
L |
3.4658164370822 |
L(r)(E,1)/r! |
Ω |
0.86645383278883 |
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 |
14790bb1 |
Quadratic twists by: -4 |