Atkin-Lehner |
2- 3- 7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574z |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
2590080 |
Modular degree for the optimal curve |
Δ |
2538994139136 = 219 · 36 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6140111,-5854617961] |
[a1,a2,a3,a4,a6] |
j |
35117596497404675783593/3482845184 |
j-invariant |
L |
3.6445104818195 |
L(r)(E,1)/r! |
Ω |
0.09590814796512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13286b1 |
Quadratic twists by: -3 |