Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880u |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
351682560 = 214 · 34 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305,-1743] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:11:1] |
Generators of the group modulo torsion |
j |
192143824/21465 |
j-invariant |
L |
5.757948752839 |
L(r)(E,1)/r! |
Ω |
1.1503974852336 |
Real period |
R |
2.5025909856015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880ef1 6360e1 |
Quadratic twists by: -4 8 |