Atkin-Lehner |
2- 3+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51888l |
Isogeny class |
Conductor |
51888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
41108658815434752 = 216 · 35 · 232 · 474 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-314840,67397616] |
[a1,a2,a3,a4,a6] |
Generators |
[466:4654:1] |
Generators of the group modulo torsion |
j |
842625998430332761/10036293656112 |
j-invariant |
L |
3.830825190444 |
L(r)(E,1)/r! |
Ω |
0.36366944333574 |
Real period |
R |
5.2669055107696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486m2 |
Quadratic twists by: -4 |