Atkin-Lehner |
2- 3+ 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810ci |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
98960400 = 24 · 33 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-593,5681] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:112:1] |
Generators of the group modulo torsion |
j |
852780481587/3665200 |
j-invariant |
L |
9.9805395119777 |
L(r)(E,1)/r! |
Ω |
1.9030011491009 |
Real period |
R |
0.65557892040213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810j1 |
Quadratic twists by: -3 |