Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
4.6270166340207E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1542928,660592148] |
[a1,a2,a3,a4,a6] |
Generators |
[-382:34560:1] |
Generators of the group modulo torsion |
j |
19661138099/2239488 |
j-invariant |
L |
8.2587392860245 |
L(r)(E,1)/r! |
Ω |
0.19522208337918 |
Real period |
R |
1.5108689006427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7350ca1 58800gt1 58800gs1 |
Quadratic twists by: -4 5 -7 |