Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240bk |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-283668480 = -1 · 212 · 36 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55,-777] |
[a1,a2,a3,a4,a6] |
Generators |
[13:48:1] |
Generators of the group modulo torsion |
j |
4410944/69255 |
j-invariant |
L |
7.0858806878711 |
L(r)(E,1)/r! |
Ω |
0.84724247311343 |
Real period |
R |
1.3939104236658 |
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 |
18240v1 9120c1 54720p1 91200g1 |
Quadratic twists by: -4 8 -3 5 |