Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
81180i |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
960850051920 = 24 · 310 · 5 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2568,16873] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:99:1] |
Generators of the group modulo torsion |
j |
160568836096/82377405 |
j-invariant |
L |
7.3997047173905 |
L(r)(E,1)/r! |
Ω |
0.77699862519895 |
Real period |
R |
1.5872410575032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27060l1 |
Quadratic twists by: -3 |