Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58608v |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
413680828475768832 = 220 · 39 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549531,-153712566] |
[a1,a2,a3,a4,a6] |
j |
227640254228379/5131143424 |
j-invariant |
L |
0.70235619274859 |
L(r)(E,1)/r! |
Ω |
0.17558904848684 |
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 |
7326f2 58608y2 |
Quadratic twists by: -4 -3 |