Atkin-Lehner |
2- 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182t |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-956976174 = -1 · 2 · 33 · 74 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-189,-1809] |
[a1,a2,a3,a4,a6] |
j |
-746883272017/956976174 |
j-invariant |
L |
7.3714685774336 |
L(r)(E,1)/r! |
Ω |
0.61428904811951 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84546l1 |
Quadratic twists by: -3 |