Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200q |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
56689952000 = 28 · 53 · 116 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3428,-77552] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:20:1] |
Generators of the group modulo torsion |
j |
78608 |
j-invariant |
L |
4.1963044809005 |
L(r)(E,1)/r! |
Ω |
0.62440013063386 |
Real period |
R |
1.6801343701837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48400ba2 24200bd2 200b2 |
Quadratic twists by: -4 5 -11 |