Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712ep |
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 |
[388:7128:1] [-19:605:1] |
Generators of the group modulo torsion |
j |
34837625096/20160657 |
j-invariant |
L |
10.814123831097 |
L(r)(E,1)/r! |
Ω |
0.44326225330246 |
Real period |
R |
3.0495840076061 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dn3 53856f3 35904bu3 |
Quadratic twists by: -4 8 -3 |