Atkin-Lehner |
3- 11+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17391g |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-680603619663 = -1 · 36 · 116 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 2 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2062,-16461] |
[a1,a2,a3,a4,a6] |
Generators |
[10:67:1] |
Generators of the group modulo torsion |
j |
969564110609375/680603619663 |
j-invariant |
L |
3.7184089391912 |
L(r)(E,1)/r! |
Ω |
0.51167833278746 |
Real period |
R |
2.4223610166271 |
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 |
52173m2 |
Quadratic twists by: -3 |