Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48608d |
Isogeny class |
Conductor |
48608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
405209509376 = 29 · 77 · 312 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3152,-59800] |
[a1,a2,a3,a4,a6] |
j |
57512456/6727 |
j-invariant |
L |
5.1361066296354 |
L(r)(E,1)/r! |
Ω |
0.64201332870683 |
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 |
48608l2 97216k2 6944d2 |
Quadratic twists by: -4 8 -7 |