Atkin-Lehner |
2- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
40400k |
Isogeny class |
Conductor |
40400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
32320000000 = 212 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4075,-99750] |
[a1,a2,a3,a4,a6] |
j |
116930169/505 |
j-invariant |
L |
1.1953924108182 |
L(r)(E,1)/r! |
Ω |
0.59769620541194 |
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 |
2525b1 8080e1 |
Quadratic twists by: -4 5 |