Atkin-Lehner |
2+ 3+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810n |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
7387354275840000 = 216 · 39 · 54 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49614,-983980] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:577:1] |
Generators of the group modulo torsion |
j |
686198983541427/375316480000 |
j-invariant |
L |
5.0424434695785 |
L(r)(E,1)/r! |
Ω |
0.3416759678343 |
Real period |
R |
1.8447461770024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999724164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810co1 |
Quadratic twists by: -3 |