Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bn |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1604286249172992 = -1 · 232 · 32 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25921,2500127] |
[a1,a2,a3,a4,a6] |
j |
-7347774183121/6119866368 |
j-invariant |
L |
5.2195024059917 |
L(r)(E,1)/r! |
Ω |
0.43495853383264 |
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 |
14784bs1 462e1 44352ci1 103488cf1 |
Quadratic twists by: -4 8 -3 -7 |