Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ee |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2052864000000 = 214 · 36 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,-47216] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:175:1] |
Generators of the group modulo torsion |
j |
436334416/171875 |
j-invariant |
L |
7.408494640889 |
L(r)(E,1)/r! |
Ω |
0.63697957304084 |
Real period |
R |
1.9384438042814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680bo2 7920ba2 3520u2 |
Quadratic twists by: -4 8 -3 |