Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36080g |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
7751562500000000 = 28 · 514 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52500,-1886852] |
[a1,a2,a3,a4,a6] |
Generators |
[291:2750:1] |
Generators of the group modulo torsion |
j |
62512940707560016/30279541015625 |
j-invariant |
L |
4.6795005809592 |
L(r)(E,1)/r! |
Ω |
0.33108959644218 |
Real period |
R |
1.0095455885321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18040g2 |
Quadratic twists by: -4 |