Atkin-Lehner |
2+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162f |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
600576 |
Modular degree for the optimal curve |
Δ |
7373918996029522 = 2 · 2310 · 89 |
Discriminant |
Eigenvalues |
2+ 1 0 0 -4 -6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-145751,-21027104] |
[a1,a2,a3,a4,a6] |
Generators |
[-33710332:108410148:148877] |
Generators of the group modulo torsion |
j |
8265625/178 |
j-invariant |
L |
3.2151089579255 |
L(r)(E,1)/r! |
Ω |
0.24466169888458 |
Real period |
R |
13.141039122144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94162a1 |
Quadratic twists by: -23 |