Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bd |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-6326409591963648 = -1 · 214 · 310 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1169760,486975008] |
[a1,a2,a3,a4,a6] |
Generators |
[481:5967:1] |
Generators of the group modulo torsion |
j |
-14820625871872000/529675443 |
j-invariant |
L |
6.8293527665793 |
L(r)(E,1)/r! |
Ω |
0.39617213205228 |
Real period |
R |
2.8730578659333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107712eu2 6732a2 35904l2 |
Quadratic twists by: -4 8 -3 |