Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cc |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
163002286669824 = 216 · 36 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18156,-713680] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:63:1] |
Generators of the group modulo torsion |
j |
13854050788/3411821 |
j-invariant |
L |
5.3514251836365 |
L(r)(E,1)/r! |
Ω |
0.41868884835047 |
Real period |
R |
2.1302315624408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999739274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928dm2 14616e2 12992s2 |
Quadratic twists by: -4 8 -3 |