Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9350l |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-4409362182170000 = -1 · 24 · 54 · 1110 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 11- 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28876,-3713702] |
[a1,a2,a3,a4,a6] |
Generators |
[257:2291:1] |
Generators of the group modulo torsion |
j |
-4260231253278025/7054979491472 |
j-invariant |
L |
3.3082294537031 |
L(r)(E,1)/r! |
Ω |
0.17324787492078 |
Real period |
R |
0.31825589541534 |
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 |
74800cp1 84150gv1 9350be2 102850dm1 |
Quadratic twists by: -4 -3 5 -11 |