Atkin-Lehner |
2- 3- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842u |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1207425696964368 = 24 · 3 · 7 · 176 · 533 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-58583,-5200167] |
[a1,a2,a3,a4,a6] |
j |
22235095499418096625/1207425696964368 |
j-invariant |
L |
5.5423690155305 |
L(r)(E,1)/r! |
Ω |
0.30790938975132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526q3 |
Quadratic twists by: -3 |