Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bk |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
59741718750 = 2 · 33 · 57 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35938,2607281] |
[a1,a2,a3,a4,a6] |
j |
328523283207001/3823470 |
j-invariant |
L |
4.0327848989028 |
L(r)(E,1)/r! |
Ω |
1.0081962247257 |
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 |
53550bp2 3570l2 124950hk2 |
Quadratic twists by: -3 5 -7 |