Atkin-Lehner |
2- 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5772a |
Isogeny class |
Conductor |
5772 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
656414928 = 24 · 38 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2057,36582] |
[a1,a2,a3,a4,a6] |
j |
60189081714688/41025933 |
j-invariant |
L |
1.6019439850215 |
L(r)(E,1)/r! |
Ω |
1.6019439850215 |
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 |
23088n1 92352bi1 17316a1 75036d1 |
Quadratic twists by: -4 8 -3 13 |