Atkin-Lehner |
7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
83993d |
Isogeny class |
Conductor |
83993 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190848 |
Modular degree for the optimal curve |
Δ |
-218302090643 = -1 · 72 · 137 · 71 |
Discriminant |
Eigenvalues |
2 1 -4 7+ 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4450,-117945] |
[a1,a2,a3,a4,a6] |
j |
-2019487744/45227 |
j-invariant |
L |
1.1674975515779 |
L(r)(E,1)/r! |
Ω |
0.29187436676167 |
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 |
6461d1 |
Quadratic twists by: 13 |