Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176cn |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-2942767853568 = -1 · 212 · 310 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9867,386170] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:864:1] [47:-162:1] |
Generators of the group modulo torsion |
j |
-2924207/81 |
j-invariant |
L |
6.8551202280789 |
L(r)(E,1)/r! |
Ω |
0.8002873113449 |
Real period |
R |
1.0707279952743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4761e1 25392bh1 76176ck1 |
Quadratic twists by: -4 -3 -23 |