Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
22748f |
Isogeny class |
Conductor |
22748 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-161344890977202944 = -1 · 28 · 1111 · 472 |
Discriminant |
Eigenvalues |
2- 1 -1 -4 11- 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,74859,-17619769] |
[a1,a2,a3,a4,a6] |
j |
102294880256/355761659 |
j-invariant |
L |
1.3175564966329 |
L(r)(E,1)/r! |
Ω |
0.16469456207912 |
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 |
90992p1 2068b1 |
Quadratic twists by: -4 -11 |