Atkin-Lehner |
3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975o |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-59249979240234375 = -1 · 3 · 59 · 17 · 296 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29513,11860406] |
[a1,a2,a3,a4,a6] |
j |
-1455575263037/30335989371 |
j-invariant |
L |
1.1815135299963 |
L(r)(E,1)/r! |
Ω |
0.29537838250072 |
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 |
110925cb2 36975bh2 |
Quadratic twists by: -3 5 |