Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714u |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
26439840620154 = 2 · 36 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-211451,37477041] |
[a1,a2,a3,a4,a6] |
j |
297141543217/7514 |
j-invariant |
L |
2.4793662140831 |
L(r)(E,1)/r! |
Ω |
0.61984155376341 |
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 |
5746c2 3978c2 |
Quadratic twists by: -3 13 |