Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fp |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1793550581760 = 217 · 3 · 5 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18401,952479] |
[a1,a2,a3,a4,a6] |
Generators |
[90:183:1] |
Generators of the group modulo torsion |
j |
5257286722802/13683705 |
j-invariant |
L |
6.6725032719278 |
L(r)(E,1)/r! |
Ω |
0.83890787952369 |
Real period |
R |
3.9768986682037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680c4 31920j4 |
Quadratic twists by: -4 8 |