Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552y |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-16529329152 = -1 · 210 · 34 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-477,7533] |
[a1,a2,a3,a4,a6] |
Generators |
[1:84:1] |
Generators of the group modulo torsion |
j |
-11745974272/16141923 |
j-invariant |
L |
5.5243859015415 |
L(r)(E,1)/r! |
Ω |
1.1139142931799 |
Real period |
R |
1.239858830345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cw1 13944l1 |
Quadratic twists by: -4 8 |