Atkin-Lehner |
2+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116272b |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-256465321028270848 = -1 · 28 · 1312 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85007,26166270] |
[a1,a2,a3,a4,a6] |
Generators |
[-237510:3200860:729] |
Generators of the group modulo torsion |
j |
-54977843664/207552787 |
j-invariant |
L |
4.4578942536896 |
L(r)(E,1)/r! |
Ω |
0.27181560696792 |
Real period |
R |
8.2002176641094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999336272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58136g2 8944b2 |
Quadratic twists by: -4 13 |