Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288bv |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
15710901000912 = 24 · 312 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8940,263603] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:754:1] |
Generators of the group modulo torsion |
j |
6774679552000/1346956533 |
j-invariant |
L |
5.6662420507103 |
L(r)(E,1)/r! |
Ω |
0.66169899945193 |
Real period |
R |
1.4271952593093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13572d1 18096u1 |
Quadratic twists by: -4 -3 |