Atkin-Lehner |
2+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304b |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
810419018752 = 210 · 77 · 312 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 6 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6811,-211974] |
[a1,a2,a3,a4,a6] |
j |
290046852/6727 |
j-invariant |
L |
1.0525439863551 |
L(r)(E,1)/r! |
Ω |
0.52627199317758 |
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 |
12152f2 97216bm2 3472a2 |
Quadratic twists by: -4 8 -7 |