Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050gt |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
9023389354056000 = 26 · 3 · 53 · 710 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-75578,-6594169] |
[a1,a2,a3,a4,a6] |
Generators |
[655:14687:1] [-121:953:1] |
Generators of the group modulo torsion |
j |
286960544769079/54235247808 |
j-invariant |
L |
15.625196926321 |
L(r)(E,1)/r! |
Ω |
0.29170938148948 |
Real period |
R |
0.89273765415182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999941257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050dt2 127050bq2 |
Quadratic twists by: 5 -11 |