Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cf |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.6576115100287E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13865601,-19861805601] |
[a1,a2,a3,a4,a6] |
Generators |
[379242:82309425:8] |
Generators of the group modulo torsion |
j |
1124604760397601117601/1013798336040000 |
j-invariant |
L |
9.4583714044411 |
L(r)(E,1)/r! |
Ω |
0.078241718557632 |
Real period |
R |
7.5554093628403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969977 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680du4 3990t3 |
Quadratic twists by: -4 8 |