Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670r |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-98481281520 = -1 · 24 · 3 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1150,-1153] |
[a1,a2,a3,a4,a6] |
Generators |
[12560:192991:4096] |
Generators of the group modulo torsion |
j |
6967871/4080 |
j-invariant |
L |
5.708465286841 |
L(r)(E,1)/r! |
Ω |
0.62715919548526 |
Real period |
R |
9.1020993201321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69360do1 26010f1 43350bb1 510f1 |
Quadratic twists by: -4 -3 5 17 |