Atkin-Lehner |
2+ 3+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20862a |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-54947503872 = -1 · 28 · 33 · 194 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5772,-167728] |
[a1,a2,a3,a4,a6] |
Generators |
[49112:451452:343] |
Generators of the group modulo torsion |
j |
-787736987638875/2035092736 |
j-invariant |
L |
4.2363773384059 |
L(r)(E,1)/r! |
Ω |
0.27382130895779 |
Real period |
R |
7.7356604468263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20862p1 |
Quadratic twists by: -3 |