Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680dw |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13989693358080 = 218 · 36 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16812,-819504] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:116:1] |
Generators of the group modulo torsion |
j |
2749884201/73205 |
j-invariant |
L |
5.8588279646211 |
L(r)(E,1)/r! |
Ω |
0.41995271023645 |
Real period |
R |
3.487790304605 |
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 |
31680bh3 7920y3 3520o4 |
Quadratic twists by: -4 8 -3 |