Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14508j |
Isogeny class |
Conductor |
14508 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-89319958196976 = -1 · 24 · 38 · 134 · 313 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 4 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4263,-441907] |
[a1,a2,a3,a4,a6] |
Generators |
[68:403:1] |
Generators of the group modulo torsion |
j |
734551414016/7657746759 |
j-invariant |
L |
4.5935441372789 |
L(r)(E,1)/r! |
Ω |
0.29773662768111 |
Real period |
R |
0.64284221218365 |
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 |
58032bh1 4836b1 |
Quadratic twists by: -4 -3 |