Atkin-Lehner |
2+ 3+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270d |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-2557215360 = -1 · 27 · 39 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,336,-640] |
[a1,a2,a3,a4,a6] |
j |
212776173/129920 |
j-invariant |
L |
1.6733826224189 |
L(r)(E,1)/r! |
Ω |
0.83669131120947 |
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 |
18270bb1 91350dg1 127890c1 |
Quadratic twists by: -3 5 -7 |