Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
61800i |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-135061057200000000 = -1 · 210 · 3 · 58 · 1034 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48408,18166812] |
[a1,a2,a3,a4,a6] |
Generators |
[902:26600:1] |
Generators of the group modulo torsion |
j |
-784086760516/8441316075 |
j-invariant |
L |
4.8185772250254 |
L(r)(E,1)/r! |
Ω |
0.27939859805666 |
Real period |
R |
4.3115617421647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123600k3 12360c4 |
Quadratic twists by: -4 5 |