Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9350w |
Isogeny class |
Conductor |
9350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
32912000000 = 210 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-805,-803] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:96:1] |
Generators of the group modulo torsion |
j |
3687953625/2106368 |
j-invariant |
L |
6.6665917676427 |
L(r)(E,1)/r! |
Ω |
0.97060137617191 |
Real period |
R |
0.68685167065557 |
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 |
74800ch1 84150ci1 374a1 102850d1 |
Quadratic twists by: -4 -3 5 -11 |