Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450bc |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-842126197578125000 = -1 · 23 · 510 · 476 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6931888,7021912281] |
[a1,a2,a3,a4,a6] |
Generators |
[49233:547501:27] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
7.1434056072713 |
L(r)(E,1)/r! |
Ω |
0.26053549286691 |
Real period |
R |
4.5696944667661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450o2 50b4 |
Quadratic twists by: 5 -47 |