Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8442c |
Isogeny class |
Conductor |
8442 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
997170748863408 = 24 · 318 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58154,-5164999] |
[a1,a2,a3,a4,a6] |
j |
29835131673951577/1367861109552 |
j-invariant |
L |
4.9329437572506 |
L(r)(E,1)/r! |
Ω |
0.30830898482816 |
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 |
67536bu3 2814a4 59094bt3 |
Quadratic twists by: -4 -3 -7 |