Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430v |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
16141923000 = 23 · 34 · 53 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35856001,82625170823] |
[a1,a2,a3,a4,a6] |
j |
5098110762442119719364981649/16141923000 |
j-invariant |
L |
2.3739450435634 |
L(r)(E,1)/r! |
Ω |
0.39565750726057 |
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 |
52290bm4 87150bb4 122010ds4 |
Quadratic twists by: -3 5 -7 |