Atkin-Lehner |
2+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45920a |
Isogeny class |
Conductor |
45920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
51661836800 = 29 · 52 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-936,-1736] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:98:1] |
Generators of the group modulo torsion |
j |
177314889032/100902025 |
j-invariant |
L |
3.6288877347961 |
L(r)(E,1)/r! |
Ω |
0.93287709798323 |
Real period |
R |
0.97249888078833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45920c2 91840bi2 |
Quadratic twists by: -4 8 |