Atkin-Lehner |
2- 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858s |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
54620428751616 = 28 · 3 · 78 · 132 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50532402,-138266272380] |
[a1,a2,a3,a4,a6] |
j |
14270314348713969442644183073/54620428751616 |
j-invariant |
L |
7.2479808743469 |
L(r)(E,1)/r! |
Ω |
0.056624850581236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119574r4 |
Quadratic twists by: -3 |