Atkin-Lehner |
3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5175b |
Isogeny class |
Conductor |
5175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18076921875 = 37 · 56 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -4 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3492,80041] |
[a1,a2,a3,a4,a6] |
j |
413493625/1587 |
j-invariant |
L |
2.4652531552474 |
L(r)(E,1)/r! |
Ω |
1.2326265776237 |
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 |
82800eh2 1725f2 207a2 119025ba2 |
Quadratic twists by: -4 -3 5 -23 |