Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fi |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1370449306979156250 = 2 · 38 · 56 · 73 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121747238,-517105781719] |
[a1,a2,a3,a4,a6] |
Generators |
[6407397157431606:664265851533431435:340946113256] |
Generators of the group modulo torsion |
j |
7209828390823479793/49509306 |
j-invariant |
L |
8.4505794755544 |
L(r)(E,1)/r! |
Ω |
0.045450092923106 |
Real period |
R |
23.241370327509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999375069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082n3 11550i4 |
Quadratic twists by: 5 -11 |