Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47300g |
Isogeny class |
Conductor |
47300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10656 |
Modular degree for the optimal curve |
Δ |
-33299200 = -1 · 28 · 52 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- -6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,40,260] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-22:1] |
Generators of the group modulo torsion |
j |
1105920/5203 |
j-invariant |
L |
3.0504228063732 |
L(r)(E,1)/r! |
Ω |
1.4877999605682 |
Real period |
R |
0.34171515965544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47300q1 |
Quadratic twists by: 5 |