Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520by |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
263782400 = 216 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-161] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:20:1] [-6:25:1] |
Generators of the group modulo torsion |
j |
7086244/4025 |
j-invariant |
L |
6.7374121217953 |
L(r)(E,1)/r! |
Ω |
1.4467724390317 |
Real period |
R |
2.3284284176384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520f1 12880k1 |
Quadratic twists by: -4 8 |