Atkin-Lehner |
2+ 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16434i |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
621166976356608 = 28 · 37 · 115 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-86607,9758317] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:4154:1] |
Generators of the group modulo torsion |
j |
98550308967792625/852080900352 |
j-invariant |
L |
3.2956916982124 |
L(r)(E,1)/r! |
Ω |
0.51636349258782 |
Real period |
R |
0.31912516526833 |
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 |
5478k1 |
Quadratic twists by: -3 |