Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710f |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7688373639160156250 = 2 · 512 · 76 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1315941,565403575] |
[a1,a2,a3,a4,a6] |
j |
252018827859870246521809/7688373639160156250 |
j-invariant |
L |
2.7981146490928 |
L(r)(E,1)/r! |
Ω |
0.23317622075773 |
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 |
88550l4 123970bz4 |
Quadratic twists by: 5 -7 |