Atkin-Lehner |
3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205i |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
215565755625 = 312 · 54 · 11 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88785,-10160384] |
[a1,a2,a3,a4,a6] |
j |
106173890743199761/295700625 |
j-invariant |
L |
2.2126080350675 |
L(r)(E,1)/r! |
Ω |
0.27657600438363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735d1 |
Quadratic twists by: -3 |