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 |
2704486400000000 = 218 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44588,-2621488] |
[a1,a2,a3,a4,a6] |
j |
37397086385121/10316796875 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640a3 6160n4 123200el3 |
Quadratic twists by: -4 8 5 |