Atkin-Lehner |
2- 5+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
123280f |
Isogeny class |
Conductor |
123280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84864 |
Modular degree for the optimal curve |
Δ |
-1499947760 = -1 · 24 · 5 · 234 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 2 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1626,25855] |
[a1,a2,a3,a4,a6] |
Generators |
[21:23:1] |
Generators of the group modulo torsion |
j |
-29732567920384/93746735 |
j-invariant |
L |
1.9922438224556 |
L(r)(E,1)/r! |
Ω |
1.5156352655873 |
Real period |
R |
0.32861531952539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997696862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30820b1 |
Quadratic twists by: -4 |