Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4440h |
Isogeny class |
Conductor |
4440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
44400000000 = 210 · 3 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2576,-50160] |
[a1,a2,a3,a4,a6] |
j |
1846842725956/43359375 |
j-invariant |
L |
2.6842941437759 |
L(r)(E,1)/r! |
Ω |
0.67107353594398 |
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 |
8880a3 35520j4 13320g3 22200b4 |
Quadratic twists by: -4 8 -3 5 |