Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bx |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-351716853310069104 = -1 · 24 · 37 · 114 · 135 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,146416,-18722077] |
[a1,a2,a3,a4,a6] |
Generators |
[9819:968755:1] |
Generators of the group modulo torsion |
j |
476172794137324103/482464819355376 |
j-invariant |
L |
15.262312744891 |
L(r)(E,1)/r! |
Ω |
0.16463808493128 |
Real period |
R |
5.7938875139439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36894o1 |
Quadratic twists by: -3 |