Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7470n |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
102898881878400 = 27 · 318 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12748937,-17517819639] |
[a1,a2,a3,a4,a6] |
j |
314353338448506783273289/141150729600 |
j-invariant |
L |
4.4742380888062 |
L(r)(E,1)/r! |
Ω |
0.079897108728681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760bn4 2490c3 37350r4 |
Quadratic twists by: -4 -3 5 |