Atkin-Lehner |
5+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18655a |
Isogeny class |
Conductor |
18655 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13394304 |
Modular degree for the optimal curve |
Δ |
-4.2741025130833E+28 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 2 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-709981671,-12327155482810] |
[a1,a2,a3,a4,a6] |
j |
-39579027900867264317778931289329/42741025130832798511733461925 |
j-invariant |
L |
0.3366219904118 |
L(r)(E,1)/r! |
Ω |
0.014025916267158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93275d1 |
Quadratic twists by: 5 |