Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400df |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-6.38555619328E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9947208,-12084790412] |
[a1,a2,a3,a4,a6] |
j |
-38401771585/22528 |
j-invariant |
L |
0.17001567553776 |
L(r)(E,1)/r! |
Ω |
0.042503918950889 |
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 |
6050p1 48400cf1 4400z1 |
Quadratic twists by: -4 5 -11 |