Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700q |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12511088928000 = -1 · 28 · 34 · 53 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1972,166152] |
[a1,a2,a3,a4,a6] |
Generators |
[1834:28413:8] |
Generators of the group modulo torsion |
j |
5488/81 |
j-invariant |
L |
6.2127486328905 |
L(r)(E,1)/r! |
Ω |
0.52792994330097 |
Real period |
R |
5.8840654065341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50700bp2 300d2 |
Quadratic twists by: 5 13 |