Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
1590t |
Isogeny class |
Conductor |
1590 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-254400 = -1 · 26 · 3 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10,-28] |
[a1,a2,a3,a4,a6] |
j |
-111284641/254400 |
j-invariant |
L |
3.762538492136 |
L(r)(E,1)/r! |
Ω |
1.2541794973787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12720s1 50880b1 4770j1 7950a1 |
Quadratic twists by: -4 8 -3 5 |