Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712dn |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
481595193851904 = 215 · 310 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19596,-560] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:968:1] |
Generators of the group modulo torsion |
j |
34837625096/20160657 |
j-invariant |
L |
4.4414074215301 |
L(r)(E,1)/r! |
Ω |
0.44320023441464 |
Real period |
R |
1.2526526041129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ep3 53856m3 35904dc3 |
Quadratic twists by: -4 8 -3 |