Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472h |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
5.5513595059972E+20 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ -4 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4120369,3014415185] |
[a1,a2,a3,a4,a6] |
Generators |
[108792:35734499:729] |
Generators of the group modulo torsion |
j |
234219472/16807 |
j-invariant |
L |
3.8389085183708 |
L(r)(E,1)/r! |
Ω |
0.16070873100223 |
Real period |
R |
11.943683573433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000149036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472cz1 8092a1 129472bl1 |
Quadratic twists by: -4 8 17 |