Atkin-Lehner |
2+ 5+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119990a |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1684800 |
Modular degree for the optimal curve |
Δ |
107094824687500000 = 25 · 510 · 136 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -2 13+ 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-186748,26698352] |
[a1,a2,a3,a4,a6] |
Generators |
[-4713:200794:27] |
Generators of the group modulo torsion |
j |
149222774347921/22187500000 |
j-invariant |
L |
2.8797033507787 |
L(r)(E,1)/r! |
Ω |
0.32082299627836 |
Real period |
R |
4.4879940811359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997708083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710d1 |
Quadratic twists by: 13 |