Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900u |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1609203708000000 = 28 · 32 · 56 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36708,-1910412] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:798:1] |
Generators of the group modulo torsion |
j |
1367595682000/402300927 |
j-invariant |
L |
7.2818135311115 |
L(r)(E,1)/r! |
Ω |
0.35270654379676 |
Real period |
R |
1.7204608333237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700bk2 1596b2 |
Quadratic twists by: -3 5 |