Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966k |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-409630529493952416 = -1 · 25 · 36 · 137 · 234 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -2 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,66639,-30089539] |
[a1,a2,a3,a4,a6] |
j |
9300746727/116413856 |
j-invariant |
L |
0.58737271433432 |
L(r)(E,1)/r! |
Ω |
0.14684317597338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7774e1 5382m1 |
Quadratic twists by: -3 13 |