Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010be |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
320336461935000 = 23 · 38 · 54 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-175593,-28322444] |
[a1,a2,a3,a4,a6] |
j |
5089246809796729/2722815000 |
j-invariant |
L |
3.7317019976316 |
L(r)(E,1)/r! |
Ω |
0.2332313881792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490d4 |
Quadratic twists by: -7 |