Atkin-Lehner |
11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5291a |
Isogeny class |
Conductor |
5291 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-640211 = -1 · 113 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 1 1 4 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20,19] |
[a1,a2,a3,a4,a6] |
j |
881974079/640211 |
j-invariant |
L |
1.8338893321294 |
L(r)(E,1)/r! |
Ω |
1.8338893321294 |
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 |
84656y1 47619c1 58201a1 68783a1 |
Quadratic twists by: -4 -3 -11 13 |