Atkin-Lehner |
2+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
44240f |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1387366400 = -1 · 211 · 52 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,1780] |
[a1,a2,a3,a4,a6] |
Generators |
[12:70:1] |
Generators of the group modulo torsion |
j |
60160462/677425 |
j-invariant |
L |
5.5216296009664 |
L(r)(E,1)/r! |
Ω |
1.1201121613098 |
Real period |
R |
0.41079439718122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22120a1 |
Quadratic twists by: -4 |