Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200br |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-10547200000000 = -1 · 218 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 0 5- 3 6 -3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9875,-408750] |
[a1,a2,a3,a4,a6] |
j |
-66560265/6592 |
j-invariant |
L |
2.8574845268368 |
L(r)(E,1)/r! |
Ω |
0.23812371057137 |
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 |
5150d1 41200z1 |
Quadratic twists by: -4 5 |