Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cy |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-27965606400000000 = -1 · 215 · 310 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53292,9335824] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:3240:1] |
Generators of the group modulo torsion |
j |
-700700304968/1170703125 |
j-invariant |
L |
6.9456343183634 |
L(r)(E,1)/r! |
Ω |
0.33503491256442 |
Real period |
R |
0.64784613274216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560cx3 53280o2 35520z3 |
Quadratic twists by: -4 8 -3 |