Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176t |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-789792768 = -1 · 211 · 36 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-1334] |
[a1,a2,a3,a4,a6] |
Generators |
[9:4:1] |
Generators of the group modulo torsion |
j |
46 |
j-invariant |
L |
5.1218509924698 |
L(r)(E,1)/r! |
Ω |
0.77294438942585 |
Real period |
R |
1.656603974942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38088z1 8464b1 76176l1 |
Quadratic twists by: -4 -3 -23 |