Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9030z |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-719972163824886000 = -1 · 24 · 320 · 53 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,190130,25478900] |
[a1,a2,a3,a4,a6] |
j |
760108368478964389919/719972163824886000 |
j-invariant |
L |
5.6137807316013 |
L(r)(E,1)/r! |
Ω |
0.18712602438671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72240cj1 27090i1 45150s1 63210bi1 |
Quadratic twists by: -4 -3 5 -7 |