Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9350j |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
117642722656250 = 2 · 59 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11+ 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19201,-882702] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1317:1] |
Generators of the group modulo torsion |
j |
400804604117/60233074 |
j-invariant |
L |
2.2836339149827 |
L(r)(E,1)/r! |
Ω |
0.4096605883709 |
Real period |
R |
5.5744535349715 |
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 |
74800dk2 84150gx2 9350bg2 102850de2 |
Quadratic twists by: -4 -3 5 -11 |