Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9386g |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
-1223192906 = -1 · 2 · 13 · 196 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 6 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,173,-1365] |
[a1,a2,a3,a4,a6] |
Generators |
[404:127:64] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
4.2982050997653 |
L(r)(E,1)/r! |
Ω |
0.7982161386392 |
Real period |
R |
2.6923817320287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088t1 84474q1 122018l1 26a3 |
Quadratic twists by: -4 -3 13 -19 |