Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18096bc |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-15417212928 = -1 · 220 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1080,-15276] |
[a1,a2,a3,a4,a6] |
Generators |
[1091:36036:1] |
Generators of the group modulo torsion |
j |
-34043726521/3763968 |
j-invariant |
L |
4.7422030350338 |
L(r)(E,1)/r! |
Ω |
0.413791776999 |
Real period |
R |
5.7301803692504 |
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 |
2262a1 72384cr1 54288bk1 |
Quadratic twists by: -4 8 -3 |