Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742j |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230630400 |
Modular degree for the optimal curve |
Δ |
-9.7356212340321E+29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11+ 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15161414121,720121383516109] |
[a1,a2,a3,a4,a6] |
Generators |
[1484270857026300070:1099230127366616982913:2588282117000] |
Generators of the group modulo torsion |
j |
-3571480626044740843224673/9021299988885921792 |
j-invariant |
L |
5.040847761783 |
L(r)(E,1)/r! |
Ω |
0.027909251845524 |
Real period |
R |
22.576956692013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914v1 4554o1 |
Quadratic twists by: -3 -23 |