Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bn |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
440432640000 = 214 · 36 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181323,29718522] |
[a1,a2,a3,a4,a6] |
Generators |
[327:2322:1] |
Generators of the group modulo torsion |
j |
220797892346121/147500 |
j-invariant |
L |
5.0313798584171 |
L(r)(E,1)/r! |
Ω |
0.77792519139612 |
Real period |
R |
3.2338455638565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5310n3 4720e3 |
Quadratic twists by: -4 -3 |