Atkin-Lehner |
2+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38480h |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
79360 |
Modular degree for the optimal curve |
Δ |
75002423891200 = 28 · 52 · 132 · 375 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 1 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10585,-42283] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:481:1] |
Generators of the group modulo torsion |
j |
512386126867456/292978218325 |
j-invariant |
L |
5.6462888057871 |
L(r)(E,1)/r! |
Ω |
0.50995293941185 |
Real period |
R |
0.55360881067743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19240e1 |
Quadratic twists by: -4 |