Atkin-Lehner |
3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8379h |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-14252679 = -1 · 37 · 73 · 19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 6 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54,-113] |
[a1,a2,a3,a4,a6] |
Generators |
[6:17:1] |
Generators of the group modulo torsion |
j |
68921/57 |
j-invariant |
L |
5.8877688319425 |
L(r)(E,1)/r! |
Ω |
1.231474525314 |
Real period |
R |
2.3905361868696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2793a1 8379k1 |
Quadratic twists by: -3 -7 |