Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120be |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1701918539776000000 = 228 · 56 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-455692,-100395024] |
[a1,a2,a3,a4,a6] |
j |
39920686684059609/6492304000000 |
j-invariant |
L |
2.2293079252313 |
L(r)(E,1)/r! |
Ω |
0.18577566043594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29120cf2 910a2 |
Quadratic twists by: -4 8 |