Atkin-Lehner |
2+ 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
79344o |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2982064896 = -1 · 28 · 36 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -1 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,-2644] |
[a1,a2,a3,a4,a6] |
Generators |
[17:29:1] [49:333:1] |
Generators of the group modulo torsion |
j |
-351232/15979 |
j-invariant |
L |
8.1986774851523 |
L(r)(E,1)/r! |
Ω |
0.62419800574712 |
Real period |
R |
3.2836845879064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39672k1 8816b1 |
Quadratic twists by: -4 -3 |