Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3894d |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20217648 = 24 · 3 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-270,-1712] |
[a1,a2,a3,a4,a6] |
j |
2165213540953/20217648 |
j-invariant |
L |
2.3579045976441 |
L(r)(E,1)/r! |
Ω |
1.1789522988221 |
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 |
31152s2 124608v2 11682v2 97350bn2 |
Quadratic twists by: -4 8 -3 5 |