Atkin-Lehner |
2- 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bi |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-199590609715200 = -1 · 215 · 32 · 52 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11864,-459340] |
[a1,a2,a3,a4,a6] |
Generators |
[62:720:1] |
Generators of the group modulo torsion |
j |
45083805930071/48728176200 |
j-invariant |
L |
8.3870055698338 |
L(r)(E,1)/r! |
Ω |
0.30541324934775 |
Real period |
R |
1.7163232111441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190c2 |
Quadratic twists by: -4 |