Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50430g |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5951232 |
Modular degree for the optimal curve |
Δ |
5.7985888219858E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 3 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94721863,354791200693] |
[a1,a2,a3,a4,a6] |
Generators |
[148818:297211:27] |
Generators of the group modulo torsion |
j |
7002221518249/43200 |
j-invariant |
L |
4.2050299219276 |
L(r)(E,1)/r! |
Ω |
0.14559716387384 |
Real period |
R |
7.2203156470466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430m1 |
Quadratic twists by: 41 |