Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ef |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
81293414400 = 212 · 38 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1092,-2176] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:108:1] |
Generators of the group modulo torsion |
j |
48228544/27225 |
j-invariant |
L |
4.8282530867045 |
L(r)(E,1)/r! |
Ω |
0.89481048825929 |
Real period |
R |
1.3489596819816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680do2 15840v1 10560bl2 |
Quadratic twists by: -4 8 -3 |