Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787t |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-1220926102713009 = -1 · 36 · 712 · 112 |
Discriminant |
Eigenvalues |
-1 3- -1 7- 11- -5 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-157781,-24194598] |
[a1,a2,a3,a4,a6] |
j |
-30515071121161/85766121 |
j-invariant |
L |
1.4370239507337 |
L(r)(E,1)/r! |
Ω |
0.11975199589448 |
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 |
53361bi1 2541g1 17787n1 |
Quadratic twists by: -3 -7 -11 |