Atkin-Lehner |
2- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39886m |
Isogeny class |
Conductor |
39886 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1901533076425136 = 24 · 78 · 11 · 374 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11+ -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36212,1619680] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1734:1] |
Generators of the group modulo torsion |
j |
44636872368817/16162764464 |
j-invariant |
L |
6.7342797055484 |
L(r)(E,1)/r! |
Ω |
0.42865341143888 |
Real period |
R |
1.963789254278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5698c2 |
Quadratic twists by: -7 |