Atkin-Lehner |
2- 5- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710i |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
602994586663700 = 22 · 52 · 7 · 11 · 238 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46897,3737869] |
[a1,a2,a3,a4,a6] |
j |
11406442503474861921/602994586663700 |
j-invariant |
L |
4.0643286834015 |
L(r)(E,1)/r! |
Ω |
0.50804108542518 |
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 |
88550t3 123970bd3 |
Quadratic twists by: 5 -7 |