Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175k |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.2113904840119E+26 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-491549063,-4161157685508] |
[a1,a2,a3,a4,a6] |
Generators |
[122746936:26190228130:2197] |
Generators of the group modulo torsion |
j |
840628875525549147076242601/7752899097676306728045 |
j-invariant |
L |
3.2734715403675 |
L(r)(E,1)/r! |
Ω |
0.032081123933992 |
Real period |
R |
4.2515545214547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835c3 |
Quadratic twists by: 5 |