Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120888k |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
7206859008 = 28 · 36 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495,-1134] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:54:1] [-3:18:1] |
Generators of the group modulo torsion |
j |
71874000/38617 |
j-invariant |
L |
12.042314077032 |
L(r)(E,1)/r! |
Ω |
1.0772434636314 |
Real period |
R |
1.3973528834092 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13432a1 |
Quadratic twists by: -3 |