Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17080i |
Isogeny class |
Conductor |
17080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
22965084800000 = 210 · 55 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64456,6315900] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:588:1] |
Generators of the group modulo torsion |
j |
28921482121849636/22426840625 |
j-invariant |
L |
7.022085333667 |
L(r)(E,1)/r! |
Ω |
0.67095708547205 |
Real period |
R |
3.4885913896796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34160c1 85400b1 119560ba1 |
Quadratic twists by: -4 5 -7 |