Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ca |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-1.0928094507375E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5471637,-15122710213] |
[a1,a2,a3,a4,a6] |
Generators |
[18409:2514807:1] |
Generators of the group modulo torsion |
j |
64347918907136/388153407375 |
j-invariant |
L |
5.5237814072868 |
L(r)(E,1)/r! |
Ω |
0.052830439897877 |
Real period |
R |
6.5347995926014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680f1 6120v1 |
Quadratic twists by: -3 17 |