Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928bc |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-110675002992246784 = -1 · 214 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- 2 3 7- -6 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1837424,-958176064] |
[a1,a2,a3,a4,a6] |
Generators |
[82462078020516104590:3733922916287075988189:29215266172399000] |
Generators of the group modulo torsion |
j |
-1214950633/196 |
j-invariant |
L |
8.4267319121096 |
L(r)(E,1)/r! |
Ω |
0.064835518729118 |
Real period |
R |
32.492729592079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366k1 75712dc1 18928q1 |
Quadratic twists by: -4 8 13 |