Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bj |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
137449812500 = 22 · 56 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41155,-3203153] |
[a1,a2,a3,a4,a6] |
Generators |
[263:1896:1] |
Generators of the group modulo torsion |
j |
493357359497913/8796788 |
j-invariant |
L |
8.1205722897788 |
L(r)(E,1)/r! |
Ω |
0.33519319431005 |
Real period |
R |
3.028317858038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2002b3 |
Quadratic twists by: 5 |