Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176bm |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-380547940352 = -1 · 214 · 234 · 83 |
Discriminant |
Eigenvalues |
2- 1 0 -3 -3 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-593,29999] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:184:1] |
Generators of the group modulo torsion |
j |
-1409938000/23226803 |
j-invariant |
L |
5.6645600917296 |
L(r)(E,1)/r! |
Ω |
0.80346250963815 |
Real period |
R |
0.88127322943021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000153534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176j1 30544i1 |
Quadratic twists by: -4 8 |