Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120bc |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
581815077437440 = 218 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20923,100842] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:792:1] |
Generators of the group modulo torsion |
j |
6128487/3520 |
j-invariant |
L |
4.4716715601821 |
L(r)(E,1)/r! |
Ω |
0.44125008252539 |
Real period |
R |
5.0670489788699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390z1 43120cj1 |
Quadratic twists by: -4 -7 |