Atkin-Lehner |
2- 3+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182k |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
1428358826043899904 = 218 · 3 · 75 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-291234,-18912849] |
[a1,a2,a3,a4,a6] |
j |
2731807108311989442337/1428358826043899904 |
j-invariant |
L |
1.9597150929163 |
L(r)(E,1)/r! |
Ω |
0.21774612143515 |
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 |
84546n1 |
Quadratic twists by: -3 |