Atkin-Lehner |
2+ 5+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
8690a |
Isogeny class |
Conductor |
8690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
171627500 = 22 · 54 · 11 · 792 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11+ 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-193,-903] |
[a1,a2,a3,a4,a6] |
j |
801506204569/171627500 |
j-invariant |
L |
2.5988960215795 |
L(r)(E,1)/r! |
Ω |
1.2994480107898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69520u2 78210by2 43450r2 95590o2 |
Quadratic twists by: -4 -3 5 -11 |