Atkin-Lehner |
2+ 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150p |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
55242000 = 24 · 34 · 53 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-95,-75] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:21:1] [-5:20:1] |
Generators of the group modulo torsion |
j |
771095213/441936 |
j-invariant |
L |
5.5473068960035 |
L(r)(E,1)/r! |
Ω |
1.6567757595891 |
Real period |
R |
1.6741272510468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150ct1 |
Quadratic twists by: 5 |