Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
79344by |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-705309762816 = -1 · 28 · 36 · 194 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -3 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,-40446] |
[a1,a2,a3,a4,a6] |
Generators |
[70:532:1] |
Generators of the group modulo torsion |
j |
-12869712/3779309 |
j-invariant |
L |
3.7741214068073 |
L(r)(E,1)/r! |
Ω |
0.40451940842168 |
Real period |
R |
2.3324723906212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19836e1 8816h1 |
Quadratic twists by: -4 -3 |