Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144bw |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-318011774976 = -1 · 211 · 39 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48027,4051222] |
[a1,a2,a3,a4,a6] |
Generators |
[126:14:1] |
Generators of the group modulo torsion |
j |
-23923707806/621 |
j-invariant |
L |
7.298231742764 |
L(r)(E,1)/r! |
Ω |
0.89652331669563 |
Real period |
R |
2.035148335163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048f1 81144bx1 |
Quadratic twists by: -3 -7 |