Atkin-Lehner |
2+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
110224b |
Isogeny class |
Conductor |
110224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63168 |
Modular degree for the optimal curve |
Δ |
-7054336 = -1 · 210 · 832 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -6 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8051,278050] |
[a1,a2,a3,a4,a6] |
Generators |
[51:10:1] [75:310:1] |
Generators of the group modulo torsion |
j |
-8181200772 |
j-invariant |
L |
10.210453402179 |
L(r)(E,1)/r! |
Ω |
1.8309226947021 |
Real period |
R |
2.7883354744726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55112a1 110224a1 |
Quadratic twists by: -4 -83 |