Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5746i |
Isogeny class |
Conductor |
5746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-2245123088 = -1 · 24 · 134 · 173 |
Discriminant |
Eigenvalues |
2- -3 -4 1 4 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4257,-105855] |
[a1,a2,a3,a4,a6] |
j |
-298652123601/78608 |
j-invariant |
L |
1.1821014521474 |
L(r)(E,1)/r! |
Ω |
0.29552536303685 |
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 |
45968o1 51714i1 5746f1 97682q1 |
Quadratic twists by: -4 -3 13 17 |