Atkin-Lehner |
2+ 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150k |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
46850602500000 = 25 · 34 · 57 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1728250,873776500] |
[a1,a2,a3,a4,a6] |
j |
36536233606804271521/2998438560 |
j-invariant |
L |
1.9467280003657 |
L(r)(E,1)/r! |
Ω |
0.48668200239956 |
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 |
14430bo2 |
Quadratic twists by: 5 |