Atkin-Lehner |
2- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38318p |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
9743105014580224 = 210 · 76 · 172 · 234 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-276786,55916081] |
[a1,a2,a3,a4,a6] |
Generators |
[-561:6145:1] [37:6743:1] |
Generators of the group modulo torsion |
j |
19932710512768353/82815026176 |
j-invariant |
L |
11.155428922522 |
L(r)(E,1)/r! |
Ω |
0.4104868678084 |
Real period |
R |
1.3588046046493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
782e2 |
Quadratic twists by: -7 |