Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870p |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
106577109760 = 28 · 5 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5266,-146684] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:50:1] |
Generators of the group modulo torsion |
j |
9116230969/60160 |
j-invariant |
L |
11.806033830337 |
L(r)(E,1)/r! |
Ω |
0.56066261019585 |
Real period |
R |
2.6321609502155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
470a1 |
Quadratic twists by: -11 |