Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336cb |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
456704790227712 = 28 · 37 · 138 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30927,-1823510] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:338:1] |
Generators of the group modulo torsion |
j |
3631696/507 |
j-invariant |
L |
3.3356563155863 |
L(r)(E,1)/r! |
Ω |
0.36335002642649 |
Real period |
R |
2.2950709185245 |
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 |
6084n2 97344gc2 8112bi2 1872t2 |
Quadratic twists by: -4 8 -3 13 |