Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117k |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
56245322133 = 36 · 73 · 113 · 132 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11+ 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1560,20790] |
[a1,a2,a3,a4,a6] |
j |
3407872000/456533 |
j-invariant |
L |
2.1488263257077 |
L(r)(E,1)/r! |
Ω |
1.0744126635827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013b2 117117bp2 |
Quadratic twists by: -3 13 |