Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fp |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
260834918400 = 216 · 32 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1601,1599] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:105:1] |
Generators of the group modulo torsion |
j |
6929294404/3980025 |
j-invariant |
L |
6.6725032719278 |
L(r)(E,1)/r! |
Ω |
0.83890787952369 |
Real period |
R |
1.9884493341019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021403 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680c2 31920j2 |
Quadratic twists by: -4 8 |