Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111476c |
Isogeny class |
Conductor |
111476 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-400867696 = -1 · 24 · 292 · 313 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 -6 6 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31,961] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:29:1] [0:31:1] |
Generators of the group modulo torsion |
j |
6912/841 |
j-invariant |
L |
8.6790184462965 |
L(r)(E,1)/r! |
Ω |
1.2949757494937 |
Real period |
R |
0.55850585447619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111476a1 |
Quadratic twists by: -31 |