Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6975i |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6435418359375 = 312 · 58 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 4 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36567,-2679534] |
[a1,a2,a3,a4,a6] |
Generators |
[15342:660579:8] |
Generators of the group modulo torsion |
j |
474734543401/564975 |
j-invariant |
L |
5.303823487626 |
L(r)(E,1)/r! |
Ω |
0.34526908930854 |
Real period |
R |
3.8403549954673 |
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 |
111600eb2 2325i2 1395b2 |
Quadratic twists by: -4 -3 5 |