Atkin-Lehner |
5+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20995b |
Isogeny class |
Conductor |
20995 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-515742175 = -1 · 52 · 13 · 174 · 19 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,32,1082] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:850:27] |
Generators of the group modulo torsion |
j |
3731087151/515742175 |
j-invariant |
L |
3.1690424773372 |
L(r)(E,1)/r! |
Ω |
1.2698415425101 |
Real period |
R |
4.9912408300532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104975a1 |
Quadratic twists by: 5 |