Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150do |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-1.1309584798757E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33193130,-89635342503] |
[a1,a2,a3,a4,a6] |
Generators |
[5074676:1422517905:64] |
Generators of the group modulo torsion |
j |
-355075548057529563601/99288535956165360 |
j-invariant |
L |
11.429966385472 |
L(r)(E,1)/r! |
Ω |
0.030999052385009 |
Real period |
R |
7.6816638980054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999210088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43050f1 25830k1 |
Quadratic twists by: -3 5 |