Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200bb |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-15488000 = -1 · 210 · 53 · 112 |
Discriminant |
Eigenvalues |
2- -1 5- 5 11- 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-548] |
[a1,a2,a3,a4,a6] |
j |
-15092 |
j-invariant |
L |
2.8260917751699 |
L(r)(E,1)/r! |
Ω |
0.70652294379247 |
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 |
48400v1 24200n1 24200o1 |
Quadratic twists by: -4 5 -11 |