Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684d |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3987869386523904 = -1 · 28 · 39 · 77 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35721,-1574370] |
[a1,a2,a3,a4,a6] |
j |
8503056/6727 |
j-invariant |
L |
3.9145378257332 |
L(r)(E,1)/r! |
Ω |
0.24465861403879 |
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 |
54684g2 7812d2 |
Quadratic twists by: -3 -7 |