Atkin-Lehner |
2- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78064f |
Isogeny class |
Conductor |
78064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
65831998210048 = 214 · 78 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 0 4 7- 0 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25843,-1550670] |
[a1,a2,a3,a4,a6] |
Generators |
[-2355:5390:27] |
Generators of the group modulo torsion |
j |
466007114306889/16072265188 |
j-invariant |
L |
9.1319193771545 |
L(r)(E,1)/r! |
Ω |
0.37733998199558 |
Real period |
R |
3.0250966686474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758b1 |
Quadratic twists by: -4 |