Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130cf |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.6785953086009E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195098401,1048805632223] |
[a1,a2,a3,a4,a6] |
Generators |
[2771:726264:1] |
Generators of the group modulo torsion |
j |
6980661870573827932070401/142678247040000 |
j-invariant |
L |
8.1567251973898 |
L(r)(E,1)/r! |
Ω |
0.15824533543567 |
Real period |
R |
2.5772403390851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999488185 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16590y2 |
Quadratic twists by: -7 |