Atkin-Lehner |
2+ 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810d |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
-316686117052800000 = -1 · 210 · 316 · 55 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-245475,-54016875] |
[a1,a2,a3,a4,a6] |
j |
-2243980016705847601/434411683200000 |
j-invariant |
L |
0.42452919054518 |
L(r)(E,1)/r! |
Ω |
0.10613229763629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270r1 94050ct1 |
Quadratic twists by: -3 5 |