Atkin-Lehner |
2- 3+ 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774bn |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
6264986841826689438 = 2 · 39 · 73 · 11 · 596 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1202150,493125031] |
[a1,a2,a3,a4,a6] |
j |
9761309054612998875/318294306854986 |
j-invariant |
L |
2.8436544516695 |
L(r)(E,1)/r! |
Ω |
0.23697120776903 |
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 |
81774f2 |
Quadratic twists by: -3 |