Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818u |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-116501668820877312 = -1 · 216 · 38 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-336337,-76992721] |
[a1,a2,a3,a4,a6] |
j |
-35765103905346817/990247845888 |
j-invariant |
L |
3.1667714279051 |
L(r)(E,1)/r! |
Ω |
0.098961607122035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544dq1 41454t1 1974i1 |
Quadratic twists by: -4 -3 -7 |