Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320i |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1580380289233920 = -1 · 210 · 38 · 5 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28760,-375908] |
[a1,a2,a3,a4,a6] |
Generators |
[59945:1388988:125] |
Generators of the group modulo torsion |
j |
54607676/32805 |
j-invariant |
L |
4.0796419013189 |
L(r)(E,1)/r! |
Ω |
0.27677746435917 |
Real period |
R |
7.369895361177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640ba3 129960cg3 120a4 |
Quadratic twists by: -4 -3 -19 |