Atkin-Lehner |
2- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
29072j |
Isogeny class |
Conductor |
29072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17856 |
Modular degree for the optimal curve |
Δ |
66769313536 = 28 · 232 · 793 |
Discriminant |
Eigenvalues |
2- -1 3 1 0 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1404,-15524] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:44:1] |
Generators of the group modulo torsion |
j |
1196449465552/260817631 |
j-invariant |
L |
5.4230488046054 |
L(r)(E,1)/r! |
Ω |
0.79197979670698 |
Real period |
R |
3.4237292587224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7268c1 116288v1 |
Quadratic twists by: -4 8 |