Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552ce |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47773456879583232 = 224 · 310 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179809,27458305] |
[a1,a2,a3,a4,a6] |
j |
2452564753920793/182241275328 |
j-invariant |
L |
0.7006109476819 |
L(r)(E,1)/r! |
Ω |
0.35030518559282 |
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 |
111552bw2 27888bg2 |
Quadratic twists by: -4 8 |