Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111936f |
Isogeny class |
Conductor |
111936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8510717952 = 214 · 34 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91569,-10695825] |
[a1,a2,a3,a4,a6] |
Generators |
[354:1173:1] |
Generators of the group modulo torsion |
j |
5182674454475728/519453 |
j-invariant |
L |
5.9798193984419 |
L(r)(E,1)/r! |
Ω |
0.27444924741101 |
Real period |
R |
5.4471085625566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111936g2 13992a2 |
Quadratic twists by: -4 8 |