Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080cf |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
3086767886400 = 26 · 32 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3670,-14632] |
[a1,a2,a3,a4,a6] |
Generators |
[-16534:78660:343] |
Generators of the group modulo torsion |
j |
48228544/27225 |
j-invariant |
L |
9.7117437561992 |
L(r)(E,1)/r! |
Ω |
0.66086134286269 |
Real period |
R |
7.3477922873189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58080br1 116160fu2 5280i1 |
Quadratic twists by: -4 8 -11 |