Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230fd |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
62 |
Product of Tamagawa factors cp |
deg |
1666560 |
Modular degree for the optimal curve |
Δ |
-7220024783331655680 = -1 · 231 · 38 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-159017,-131522839] |
[a1,a2,a3,a4,a6] |
j |
-41663288909209/676457349120 |
j-invariant |
L |
6.2689001436208 |
L(r)(E,1)/r! |
Ω |
0.10111129269065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bf1 76230bz1 |
Quadratic twists by: -3 -11 |