Atkin-Lehner |
2+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350a |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3011653700 = -1 · 22 · 52 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11+ 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11960,-508460] |
[a1,a2,a3,a4,a6] |
Generators |
[866:24856:1] |
Generators of the group modulo torsion |
j |
-7568921117048305/120466148 |
j-invariant |
L |
2.6398771310966 |
L(r)(E,1)/r! |
Ω |
0.22826095047012 |
Real period |
R |
2.8912929759334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800bu2 84150fv2 9350bi2 102850ck2 |
Quadratic twists by: -4 -3 5 -11 |