Atkin-Lehner |
2+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11374d |
Isogeny class |
Conductor |
11374 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
1289583028096 = 27 · 118 · 47 |
Discriminant |
Eigenvalues |
2+ 1 -1 0 11- -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4964,-123422] |
[a1,a2,a3,a4,a6] |
j |
63088729/6016 |
j-invariant |
L |
0.5722715448788 |
L(r)(E,1)/r! |
Ω |
0.5722715448788 |
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 |
90992z1 102366bm1 11374i1 |
Quadratic twists by: -4 -3 -11 |