Atkin-Lehner |
3- 5- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23205k |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-194116206375 = -1 · 310 · 53 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1140,25767] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-222:1] |
Generators of the group modulo torsion |
j |
-163855897047361/194116206375 |
j-invariant |
L |
3.5564569822257 |
L(r)(E,1)/r! |
Ω |
0.91160991766537 |
Real period |
R |
0.26008617014126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69615h1 116025p1 |
Quadratic twists by: -3 5 |