Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050p |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
6256250000 = 24 · 58 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13067,-571659] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1083:1] |
Generators of the group modulo torsion |
j |
15792469779969/400400 |
j-invariant |
L |
3.3986074055908 |
L(r)(E,1)/r! |
Ω |
0.44653415639585 |
Real period |
R |
3.8055402446575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010m1 |
Quadratic twists by: 5 |