Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560co |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-21170160 = -1 · 24 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,-209] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
2816/15 |
j-invariant |
L |
4.9753543487716 |
L(r)(E,1)/r! |
Ω |
1.081235389915 |
Real period |
R |
0.57519324598344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120cl1 14520s1 43560be1 |
Quadratic twists by: -4 -3 -11 |