Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680t |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3413542988021760000 = 220 · 316 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-814188,268435888] |
[a1,a2,a3,a4,a6] |
Generators |
[-636:23000:1] |
Generators of the group modulo torsion |
j |
312341975961049/17862322500 |
j-invariant |
L |
4.8134429926122 |
L(r)(E,1)/r! |
Ω |
0.24687333573425 |
Real period |
R |
4.8744055107205 |
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 |
31680ci2 990k2 10560z2 |
Quadratic twists by: -4 8 -3 |