Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200dc |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2800000000 = -1 · 210 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -5 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,-5000] |
[a1,a2,a3,a4,a6] |
j |
-34560/7 |
j-invariant |
L |
0.49936641931215 |
L(r)(E,1)/r! |
Ω |
0.49936641931215 |
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 |
11200bc1 2800bd1 100800pz1 11200bw1 |
Quadratic twists by: -4 8 -3 5 |