Atkin-Lehner |
2- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150bb |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-2770663671875000 = -1 · 23 · 511 · 113 · 732 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11- 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45563,-4523383] |
[a1,a2,a3,a4,a6] |
j |
-669485563505641/177322475000 |
j-invariant |
L |
5.8016108199409 |
L(r)(E,1)/r! |
Ω |
0.1611558561066 |
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 |
8030f1 |
Quadratic twists by: 5 |