Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670ca |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12056669520 = 24 · 3 · 5 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26781441,53343419961] |
[a1,a2,a3,a4,a6] |
j |
18056654814734214819841/102480 |
j-invariant |
L |
6.7109685802901 |
L(r)(E,1)/r! |
Ω |
0.41943553892314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810o3 |
Quadratic twists by: -7 |