Atkin-Lehner |
2- 3- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544bd |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-367264368 = -1 · 24 · 36 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225,-1593] |
[a1,a2,a3,a4,a6] |
j |
-108000000/31487 |
j-invariant |
L |
1.2144067640146 |
L(r)(E,1)/r! |
Ω |
0.60720371761003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30636e1 13616i1 |
Quadratic twists by: -4 -3 |