Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80864h |
Isogeny class |
Conductor |
80864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23860683256066048 = 212 · 73 · 198 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651244,-202148448] |
[a1,a2,a3,a4,a6] |
Generators |
[1533088635364044:289701634091284900:42911760501] |
Generators of the group modulo torsion |
j |
158516094528/123823 |
j-invariant |
L |
7.2969594301973 |
L(r)(E,1)/r! |
Ω |
0.16806759505142 |
Real period |
R |
21.708406751062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80864d2 4256a2 |
Quadratic twists by: -4 -19 |