Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504bl |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
75365198494728192 = 215 · 310 · 794 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105996,-1403696] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:3128:1] |
Generators of the group modulo torsion |
j |
5513338764296/3154956561 |
j-invariant |
L |
5.1363105529198 |
L(r)(E,1)/r! |
Ω |
0.28679526315409 |
Real period |
R |
4.4773321013457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45504bw4 22752c3 15168p3 |
Quadratic twists by: -4 8 -3 |