Atkin-Lehner |
2+ 3+ 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
36210d |
Isogeny class |
Conductor |
36210 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
102310134723000 = 23 · 35 · 53 · 174 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1295572,-568137416] |
[a1,a2,a3,a4,a6] |
j |
240496575219110317805641/102310134723000 |
j-invariant |
L |
1.6981082807583 |
L(r)(E,1)/r! |
Ω |
0.14150902339659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108630p2 |
Quadratic twists by: -3 |