Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640h |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
114572656640 = 220 · 5 · 13 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36336,-2678060] |
[a1,a2,a3,a4,a6] |
Generators |
[731:19024:1] |
Generators of the group modulo torsion |
j |
1295349813487729/27971840 |
j-invariant |
L |
3.373730533117 |
L(r)(E,1)/r! |
Ω |
0.34579192087509 |
Real period |
R |
4.8782668556502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5330c1 |
Quadratic twists by: -4 |