Atkin-Lehner |
2+ 7+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
18382b |
Isogeny class |
Conductor |
18382 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35520 |
Modular degree for the optimal curve |
Δ |
-1029081123616 = -1 · 25 · 74 · 13 · 1013 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ -4 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2748,-74086] |
[a1,a2,a3,a4,a6] |
j |
-2293753238070841/1029081123616 |
j-invariant |
L |
0.64541856268314 |
L(r)(E,1)/r! |
Ω |
0.32270928134157 |
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 |
128674f1 |
Quadratic twists by: -7 |