Atkin-Lehner |
3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205i |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-668116723647136005 = -1 · 330 · 5 · 11 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,56115,-39006194] |
[a1,a2,a3,a4,a6] |
j |
26805797482094639/916483845880845 |
j-invariant |
L |
2.2126080350675 |
L(r)(E,1)/r! |
Ω |
0.13828800219181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735d4 |
Quadratic twists by: -3 |