Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ce |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53760000000000 = 218 · 3 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180033,-29459937] |
[a1,a2,a3,a4,a6] |
j |
157551496201/13125 |
j-invariant |
L |
1.8541867868017 |
L(r)(E,1)/r! |
Ω |
0.23177334835001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ez4 525a3 100800dc4 6720g3 |
Quadratic twists by: -4 8 -3 5 |