Atkin-Lehner |
11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7139b |
Isogeny class |
Conductor |
7139 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3468 |
Modular degree for the optimal curve |
Δ |
-863819 = -1 · 114 · 59 |
Discriminant |
Eigenvalues |
-2 3 3 1 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-121,514] |
[a1,a2,a3,a4,a6] |
j |
-13381632/59 |
j-invariant |
L |
2.82522089284 |
L(r)(E,1)/r! |
Ω |
2.82522089284 |
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 |
114224y1 64251bc1 7139a1 |
Quadratic twists by: -4 -3 -11 |