Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336i |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64857485002752 = 211 · 38 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-584571,-172029494] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:14:1] [9359:902286:1] |
Generators of the group modulo torsion |
j |
3065617154/9 |
j-invariant |
L |
7.0371267438164 |
L(r)(E,1)/r! |
Ω |
0.17265943464295 |
Real period |
R |
20.378633691142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12168q5 97344fb6 8112k5 144b5 |
Quadratic twists by: -4 8 -3 13 |