Atkin-Lehner |
2+ 3+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576j |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-166001375232 = -1 · 211 · 32 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,784,-17952] |
[a1,a2,a3,a4,a6] |
j |
25988899102/81055359 |
j-invariant |
L |
4.1737709484035 |
L(r)(E,1)/r! |
Ω |
0.52172135637097 |
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 |
57288p2 |
Quadratic twists by: -4 |