Atkin-Lehner |
3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925d |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20921901328125 = 38 · 57 · 74 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13400,-560625] |
[a1,a2,a3,a4,a6] |
j |
17032120495489/1339001685 |
j-invariant |
L |
1.783766502638 |
L(r)(E,1)/r! |
Ω |
0.44594162565951 |
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 |
26775x3 1785k3 62475bs3 |
Quadratic twists by: -3 5 -7 |