Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126324i |
Isogeny class |
Conductor |
126324 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
654863616 = 28 · 36 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11- 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-1100] |
[a1,a2,a3,a4,a6] |
j |
90112/29 |
j-invariant |
L |
2.4292405362518 |
L(r)(E,1)/r! |
Ω |
1.2146203301249 |
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 |
14036f1 126324p1 |
Quadratic twists by: -3 -11 |