Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bj |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
1.8364454535168E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-130061313,-567232467969] |
[a1,a2,a3,a4,a6] |
Generators |
[-6225:-31888:1] |
Generators of the group modulo torsion |
j |
15572132426082985286796361/117532509025075200000 |
j-invariant |
L |
7.7040607217719 |
L(r)(E,1)/r! |
Ω |
0.044726008390832 |
Real period |
R |
1.0252983878081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150bi1 8610h1 |
Quadratic twists by: -3 5 |