Atkin-Lehner |
3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177i |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-135531 = -1 · 32 · 11 · 372 |
Discriminant |
Eigenvalues |
-2 3- -3 2 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [0:4:1] |
Generators of the group modulo torsion |
j |
-151552/99 |
j-invariant |
L |
5.1161082534009 |
L(r)(E,1)/r! |
Ω |
3.0297002656605 |
Real period |
R |
0.84432580862675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45177g1 |
Quadratic twists by: 37 |