Atkin-Lehner |
2- 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5676f |
Isogeny class |
Conductor |
5676 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1944 |
Modular degree for the optimal curve |
Δ |
-148960944 = -1 · 24 · 39 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11+ 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,131,-76] |
[a1,a2,a3,a4,a6] |
j |
15420489728/9310059 |
j-invariant |
L |
3.1917096643827 |
L(r)(E,1)/r! |
Ω |
1.0639032214609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22704y1 90816p1 17028s1 62436o1 |
Quadratic twists by: -4 8 -3 -11 |