Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26264a |
Isogeny class |
Conductor |
26264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
367696 = 24 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154,-735] |
[a1,a2,a3,a4,a6] |
j |
73598976/67 |
j-invariant |
L |
1.3553239394529 |
L(r)(E,1)/r! |
Ω |
1.3553239394529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52528t1 26264b1 |
Quadratic twists by: -4 -7 |