Atkin-Lehner |
3- 5- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41055m |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
59277621674053125 = 316 · 55 · 72 · 17 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-305340,63851067] |
[a1,a2,a3,a4,a6] |
Generators |
[1749:68988:1] |
Generators of the group modulo torsion |
j |
3148291267744107764161/59277621674053125 |
j-invariant |
L |
5.4909389263572 |
L(r)(E,1)/r! |
Ω |
0.35163200974777 |
Real period |
R |
0.19519479079489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165e2 |
Quadratic twists by: -3 |