Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bf |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4110343112049408 = 28 · 39 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4111263,-3208564710] |
[a1,a2,a3,a4,a6] |
j |
315978926832/169 |
j-invariant |
L |
5.3012191485146 |
L(r)(E,1)/r! |
Ω |
0.10602438297029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6084d2 97344ec2 24336bg2 1872m2 |
Quadratic twists by: -4 8 -3 13 |