Atkin-Lehner |
2+ 3- 7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574g |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16796160 |
Modular degree for the optimal curve |
Δ |
1.0153065587069E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-186820578,-982797435756] |
[a1,a2,a3,a4,a6] |
Generators |
[-430993553043927:204567896217777:54569318257] |
Generators of the group modulo torsion |
j |
989168594482347005927303713/1392738763658231808 |
j-invariant |
L |
3.4175756494681 |
L(r)(E,1)/r! |
Ω |
0.040836020523091 |
Real period |
R |
20.922555547845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39858o1 |
Quadratic twists by: -3 |