Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248d |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
108363588608 = 210 · 113 · 433 |
Discriminant |
Eigenvalues |
2+ 2 4 -4 11+ -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-291496,60672768] |
[a1,a2,a3,a4,a6] |
Generators |
[4674:105850:27] |
Generators of the group modulo torsion |
j |
2009763657953996/79507 |
j-invariant |
L |
10.761499282143 |
L(r)(E,1)/r! |
Ω |
0.78329405396348 |
Real period |
R |
6.8693865536798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41624k1 83248h1 |
Quadratic twists by: -4 -11 |