Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640bo |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
971407360000 = 218 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41068,-3202992] |
[a1,a2,a3,a4,a6] |
j |
29220958012401/3705625 |
j-invariant |
L |
2.6829770519204 |
L(r)(E,1)/r! |
Ω |
0.33537213149006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24640a2 6160n2 123200el2 |
Quadratic twists by: -4 8 5 |