Atkin-Lehner |
2+ 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850i |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16982792000000 = 29 · 56 · 312 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69026,-6983052] |
[a1,a2,a3,a4,a6] |
j |
2327730853071889/1086898688 |
j-invariant |
L |
0.58910037370092 |
L(r)(E,1)/r! |
Ω |
0.2945501867585 |
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 |
2914h2 |
Quadratic twists by: 5 |