Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490w |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
593437162500 = 22 · 32 · 55 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7192,228844] |
[a1,a2,a3,a4,a6] |
Generators |
[58:76:1] [-82:566:1] |
Generators of the group modulo torsion |
j |
18729968230693/270112500 |
j-invariant |
L |
5.9395662582776 |
L(r)(E,1)/r! |
Ω |
0.91961622007703 |
Real period |
R |
0.16146861398825 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470fd1 35490cg1 |
Quadratic twists by: -3 13 |