Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496df |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-125713614946304 = -1 · 214 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,539363] |
[a1,a2,a3,a4,a6] |
j |
-1024/65219 |
j-invariant |
L |
2.8086914377755 |
L(r)(E,1)/r! |
Ω |
0.46811523962977 |
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 |
34496q1 8624b1 4928y1 |
Quadratic twists by: -4 8 -7 |