Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360x |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-2.3535555060957E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7153717,-493934982] |
[a1,a2,a3,a4,a6] |
j |
9884598436907013225951/5745985122304000000 |
j-invariant |
L |
1.4209034432762 |
L(r)(E,1)/r! |
Ω |
0.071045172163808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170i1 69440ds1 86800bd1 121520cg1 |
Quadratic twists by: -4 8 5 -7 |