Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440cg |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-637114777600 = -1 · 224 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,38465] |
[a1,a2,a3,a4,a6] |
j |
-1771561/2430400 |
j-invariant |
L |
2.9389113347744 |
L(r)(E,1)/r! |
Ω |
0.73472783713045 |
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 |
69440w1 17360bf1 |
Quadratic twists by: -4 8 |