Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064bg |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3669469141883830272 = 214 · 324 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-447824,69212052] |
[a1,a2,a3,a4,a6] |
Generators |
[607:4626:1] |
Generators of the group modulo torsion |
j |
2424860886440964817/895866489717732 |
j-invariant |
L |
6.3289083980243 |
L(r)(E,1)/r! |
Ω |
0.2278408751574 |
Real period |
R |
4.6296261178267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4758g3 114192cb4 |
Quadratic twists by: -4 -3 |