Atkin-Lehner |
2+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350b |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-321406250 = -1 · 2 · 57 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11+ 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,125,-625] |
[a1,a2,a3,a4,a6] |
Generators |
[25:125:1] |
Generators of the group modulo torsion |
j |
13651919/20570 |
j-invariant |
L |
1.9137611376034 |
L(r)(E,1)/r! |
Ω |
0.90844539807298 |
Real period |
R |
0.26332913646529 |
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 |
74800bw1 84150gc1 1870g1 102850cm1 |
Quadratic twists by: -4 -3 5 -11 |