Atkin-Lehner |
2- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42224p |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
140160 |
Modular degree for the optimal curve |
Δ |
-17906089091072 = -1 · 213 · 7 · 135 · 292 |
Discriminant |
Eigenvalues |
2- 1 2 7- 1 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118032,15570068] |
[a1,a2,a3,a4,a6] |
Generators |
[202:104:1] |
Generators of the group modulo torsion |
j |
-44398340949270673/4371603782 |
j-invariant |
L |
8.2810345983717 |
L(r)(E,1)/r! |
Ω |
0.66137787833045 |
Real period |
R |
0.31302205855704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278e1 |
Quadratic twists by: -4 |