Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122176bq |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
-95136985088 = -1 · 212 · 234 · 83 |
Discriminant |
Eigenvalues |
2- 3 -2 1 -1 -4 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1004,8384] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:2116:27] |
Generators of the group modulo torsion |
j |
27325297728/23226803 |
j-invariant |
L |
10.832405918433 |
L(r)(E,1)/r! |
Ω |
0.69293305223898 |
Real period |
R |
1.9540859246933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bh1 61088c1 |
Quadratic twists by: -4 8 |