Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696fn |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
402198088167456768 = 220 · 39 · 117 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384780,-86653424] |
[a1,a2,a3,a4,a6] |
j |
18609625/1188 |
j-invariant |
L |
1.5396482310258 |
L(r)(E,1)/r! |
Ω |
0.19245602980718 |
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 |
69696bn1 17424bm1 23232dm1 6336ce1 |
Quadratic twists by: -4 8 -3 -11 |