Atkin-Lehner |
2+ 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27816a |
Isogeny class |
Conductor |
27816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
55632 = 24 · 3 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1159,15580] |
[a1,a2,a3,a4,a6] |
j |
10770322266112/3477 |
j-invariant |
L |
1.4228737725374 |
L(r)(E,1)/r! |
Ω |
2.8457475450746 |
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 |
55632i1 83448k1 |
Quadratic twists by: -4 -3 |