Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bc |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
76214047343616 = 210 · 316 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39072,2929860] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:2430:1] |
Generators of the group modulo torsion |
j |
6442164309829252/74427780609 |
j-invariant |
L |
11.073666541448 |
L(r)(E,1)/r! |
Ω |
0.61436944885308 |
Real period |
R |
1.1265276294383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496c4 |
Quadratic twists by: -4 |