Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187j |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
1743304017 = 3 · 73 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-399,-2352] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] |
Generators of the group modulo torsion |
j |
7026036894577/1743304017 |
j-invariant |
L |
2.4685126904365 |
L(r)(E,1)/r! |
Ω |
1.0876006498481 |
Real period |
R |
1.5131244424941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992bn1 15561k1 129675e1 36309o1 |
Quadratic twists by: -4 -3 5 -7 |