Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330i |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-39860351562500 = -1 · 22 · 512 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12913,-642344] |
[a1,a2,a3,a4,a6] |
j |
-99166425177001/16601562500 |
j-invariant |
L |
1.7751891324047 |
L(r)(E,1)/r! |
Ω |
0.22189864155059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
66640bu1 74970cm1 41650bk1 8330g1 |
Quadratic twists by: -4 -3 5 -7 |