Atkin-Lehner |
2- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4042c |
Isogeny class |
Conductor |
4042 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
2069504 = 210 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 0 -3 2 -4 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79,279] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
53881658433/2069504 |
j-invariant |
L |
4.5489312309042 |
L(r)(E,1)/r! |
Ω |
2.5925005220736 |
Real period |
R |
0.17546500732296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32336h1 129344d1 36378f1 101050b1 |
Quadratic twists by: -4 8 -3 5 |