Atkin-Lehner |
2- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300y |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
-15680258720000 = -1 · 28 · 54 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -1 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8575,360150] |
[a1,a2,a3,a4,a6] |
j |
-75600/17 |
j-invariant |
L |
2.0007885679813 |
L(r)(E,1)/r! |
Ω |
0.66692950838401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300a1 83300bb1 |
Quadratic twists by: 5 -7 |