Atkin-Lehner |
2+ 3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906r |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1752390402048 = -1 · 215 · 39 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2277,-75627] |
[a1,a2,a3,a4,a6] |
Generators |
[4884:25503:64] |
Generators of the group modulo torsion |
j |
-1791399948625/2403827712 |
j-invariant |
L |
4.1845322659688 |
L(r)(E,1)/r! |
Ω |
0.32924103610429 |
Real period |
R |
6.35481578401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16302u1 |
Quadratic twists by: -3 |