Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680z |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
2.97932572224E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8424305,9410435697] |
[a1,a2,a3,a4,a6] |
Generators |
[1399:19000:1] |
Generators of the group modulo torsion |
j |
4035581015842667567824/1818436109765625 |
j-invariant |
L |
6.2245002843599 |
L(r)(E,1)/r! |
Ω |
0.20609522622806 |
Real period |
R |
0.94381435226211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680gh2 15960c2 |
Quadratic twists by: -4 8 |