Atkin-Lehner |
2- 3+ 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990s |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
77480625000000 = 26 · 3 · 510 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10916,-120091] |
[a1,a2,a3,a4,a6] |
j |
143852289942662209/77480625000000 |
j-invariant |
L |
2.9840027877951 |
L(r)(E,1)/r! |
Ω |
0.4973337979867 |
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 |
119970bd1 |
Quadratic twists by: -3 |