Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392l |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
3764758110397869312 = 28 · 314 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-450948,-69941520] |
[a1,a2,a3,a4,a6] |
Generators |
[-408:6804:1] |
Generators of the group modulo torsion |
j |
8207369602000/3046751253 |
j-invariant |
L |
7.075049703107 |
L(r)(E,1)/r! |
Ω |
0.19000617691335 |
Real period |
R |
1.3298533271093 |
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 |
56784a2 85176bz2 2184k2 |
Quadratic twists by: -4 -3 13 |