Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166h |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
428488704 = 211 · 36 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 6 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-189,-59] |
[a1,a2,a3,a4,a6] |
j |
1027243729/587776 |
j-invariant |
L |
1.395238922165 |
L(r)(E,1)/r! |
Ω |
1.395238922165 |
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 |
41328bx1 574g1 129150dh1 36162be1 |
Quadratic twists by: -4 -3 5 -7 |