Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400g |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
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 |
1.9050263867283 |
L(r)(E,1)/r! |
Ω |
0.1587521988979 |
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 |
24200d1 48400s1 48400h1 |
Quadratic twists by: -4 5 -11 |