Atkin-Lehner |
3- 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
65835l |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
854093305488782205 = 310 · 5 · 712 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248693,-17305104] |
[a1,a2,a3,a4,a6] |
Generators |
[42068:628149:64] |
Generators of the group modulo torsion |
j |
2333378707371983881/1171595755128645 |
j-invariant |
L |
3.3244434266266 |
L(r)(E,1)/r! |
Ω |
0.22530182253245 |
Real period |
R |
7.377755291957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990196 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945k4 |
Quadratic twists by: -3 |