Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200d |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
4287177620000000000 = 211 · 510 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-831875,274518750] |
[a1,a2,a3,a4,a6] |
j |
14850 |
j-invariant |
L |
0.2413769983093 |
L(r)(E,1)/r! |
Ω |
0.24137699830939 |
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 |
48400g1 24200y1 24200v1 |
Quadratic twists by: -4 5 -11 |