Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350bb |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-104394968268800 = -1 · 224 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16918,-986349] |
[a1,a2,a3,a4,a6] |
Generators |
[161:623:1] |
Generators of the group modulo torsion |
j |
-21420636414894985/4175798730752 |
j-invariant |
L |
4.7978035409004 |
L(r)(E,1)/r! |
Ω |
0.20712552844574 |
Real period |
R |
0.24128904144621 |
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 |
74800ba1 84150by1 9350n1 102850r1 |
Quadratic twists by: -4 -3 5 -11 |