Atkin-Lehner |
2- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
112288f |
Isogeny class |
Conductor |
112288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-1796608 = -1 · 29 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11,-66] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
-2376/29 |
j-invariant |
L |
3.11030353557 |
L(r)(E,1)/r! |
Ω |
1.1276777135195 |
Real period |
R |
1.3790746611011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112288a1 112288c1 |
Quadratic twists by: -4 -11 |