Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5814f |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
104163065856 = 214 · 39 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1251,7317] |
[a1,a2,a3,a4,a6] |
Generators |
[87:699:1] |
Generators of the group modulo torsion |
j |
297141543217/142884864 |
j-invariant |
L |
3.3015140286615 |
L(r)(E,1)/r! |
Ω |
0.94414965345214 |
Real period |
R |
3.4968122019534 |
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 |
46512bk1 1938h1 98838l1 110466bt1 |
Quadratic twists by: -4 -3 17 -19 |