Atkin-Lehner |
7- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12341a |
Isogeny class |
Conductor |
12341 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11424 |
Modular degree for the optimal curve |
Δ |
-7826748587 = -1 · 74 · 41 · 433 |
Discriminant |
Eigenvalues |
0 3 2 7- -2 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-544,6478] |
[a1,a2,a3,a4,a6] |
j |
-17804115836928/7826748587 |
j-invariant |
L |
4.9239980069719 |
L(r)(E,1)/r! |
Ω |
1.230999501743 |
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 |
111069e1 86387d1 |
Quadratic twists by: -3 -7 |