Atkin-Lehner |
3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
48555i |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3338023539910995 = -1 · 312 · 5 · 133 · 833 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7630158,8112382803] |
[a1,a2,a3,a4,a6] |
j |
-67390204948029425483776/4578907462155 |
j-invariant |
L |
0.67695604899942 |
L(r)(E,1)/r! |
Ω |
0.33847802450366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16185g2 |
Quadratic twists by: -3 |