Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646bt |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1399680 |
Modular degree for the optimal curve |
Δ |
-403882178556985344 = -1 · 227 · 39 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- -1 0 3 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-399308,-101719857] |
[a1,a2,a3,a4,a6] |
Generators |
[1301:39093:1] |
Generators of the group modulo torsion |
j |
-33421147343264089/1917031809024 |
j-invariant |
L |
11.853171730799 |
L(r)(E,1)/r! |
Ω |
0.094645389716727 |
Real period |
R |
1.1596084058771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882g1 119646cv1 |
Quadratic twists by: -3 17 |