Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
8690g |
Isogeny class |
Conductor |
8690 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
68651000 = 23 · 53 · 11 · 792 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58665,5464225] |
[a1,a2,a3,a4,a6] |
j |
22328595172851474961/68651000 |
j-invariant |
L |
2.5883883566867 |
L(r)(E,1)/r! |
Ω |
1.2941941783433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
69520bh2 78210p2 43450b2 95590f2 |
Quadratic twists by: -4 -3 5 -11 |