Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930n |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-3095562122018160 = -1 · 24 · 3 · 5 · 178 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110784,-14452034] |
[a1,a2,a3,a4,a6] |
j |
-150365846112551697529/3095562122018160 |
j-invariant |
L |
2.3523052847172 |
L(r)(E,1)/r! |
Ω |
0.13068362692873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65790cs1 109650cg1 |
Quadratic twists by: -3 5 |