Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200dx |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
5875000000 = 26 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -1 -3 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,-15338] |
[a1,a2,a3,a4,a6] |
j |
1560896/47 |
j-invariant |
L |
1.6224931872517 |
L(r)(E,1)/r! |
Ω |
0.81124659020925 |
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 |
75200dd1 37600q1 75200de1 |
Quadratic twists by: -4 8 5 |