Atkin-Lehner |
3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5841c |
Isogeny class |
Conductor |
5841 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
17002549377 = 39 · 114 · 59 |
Discriminant |
Eigenvalues |
1 3+ 0 4 11- -6 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1122,13319] |
[a1,a2,a3,a4,a6] |
j |
7940149875/863819 |
j-invariant |
L |
2.3900145075875 |
L(r)(E,1)/r! |
Ω |
1.1950072537938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456t1 5841b1 64251d1 |
Quadratic twists by: -4 -3 -11 |