Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247r |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7911703593 = 36 · 173 · 472 |
Discriminant |
Eigenvalues |
1 3- 2 2 0 -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-666,5215] |
[a1,a2,a3,a4,a6] |
Generators |
[1294:15571:8] |
Generators of the group modulo torsion |
j |
9129329/2209 |
j-invariant |
L |
9.8622370764602 |
L(r)(E,1)/r! |
Ω |
1.2343081721545 |
Real period |
R |
3.9950465271117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999222868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13583a2 122247s2 |
Quadratic twists by: -3 17 |