Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150cd |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1003479845062500000 = -1 · 25 · 36 · 59 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,82008,47320416] |
[a1,a2,a3,a4,a6] |
Generators |
[4135:264531:1] |
Generators of the group modulo torsion |
j |
42838260499/704775968 |
j-invariant |
L |
4.4943838264333 |
L(r)(E,1)/r! |
Ω |
0.20652819630849 |
Real period |
R |
5.4403997611378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350w2 111150ff2 |
Quadratic twists by: -3 5 |