Atkin-Lehner |
2+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
112288c |
Isogeny class |
Conductor |
112288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-3182800665088 = -1 · 29 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331,87846] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:326:1] |
Generators of the group modulo torsion |
j |
-2376/29 |
j-invariant |
L |
4.9115689346127 |
L(r)(E,1)/r! |
Ω |
0.67718796286839 |
Real period |
R |
3.6264443786918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999943173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112288h1 112288f1 |
Quadratic twists by: -4 -11 |