Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ds |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
-2.761342451712E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,370120,-237597253] |
[a1,a2,a3,a4,a6] |
Generators |
[1029:-35615:1] |
Generators of the group modulo torsion |
j |
492271755328079/2424223825920 |
j-invariant |
L |
9.674568410369 |
L(r)(E,1)/r! |
Ω |
0.10601736263041 |
Real period |
R |
0.95056839467123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050v1 22230l1 |
Quadratic twists by: -3 5 |