Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560ee |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2071526400000000 = 216 · 37 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92748,-10649072] |
[a1,a2,a3,a4,a6] |
Generators |
[-192:284:1] |
Generators of the group modulo torsion |
j |
1846842725956/43359375 |
j-invariant |
L |
4.7272977964924 |
L(r)(E,1)/r! |
Ω |
0.27396462382467 |
Real period |
R |
4.3137848814036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999731671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560bb4 26640o4 35520ct4 |
Quadratic twists by: -4 8 -3 |