Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175h |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.4782575702667E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27251901,54441834823] |
[a1,a2,a3,a4,a6] |
Generators |
[27214:252357:8] |
Generators of the group modulo torsion |
j |
143249815383135336128449/946084844970703125 |
j-invariant |
L |
5.7275439607277 |
L(r)(E,1)/r! |
Ω |
0.12543617455911 |
Real period |
R |
7.6101703792805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835b2 |
Quadratic twists by: 5 |