Atkin-Lehner |
3+ 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17391b |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-17097144273 = -1 · 32 · 112 · 17 · 314 |
Discriminant |
Eigenvalues |
-1 3+ -4 0 11- 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-570,-8424] |
[a1,a2,a3,a4,a6] |
Generators |
[52:299:1] |
Generators of the group modulo torsion |
j |
-20483110046881/17097144273 |
j-invariant |
L |
2.0561231900524 |
L(r)(E,1)/r! |
Ω |
0.47186032886092 |
Real period |
R |
1.0893706592244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52173i2 |
Quadratic twists by: -3 |