Atkin-Lehner |
2- 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bu |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
43620424025400 = 23 · 38 · 52 · 294 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15683,-681973] |
[a1,a2,a3,a4,a6] |
Generators |
[273:-4052:1] [-546:2339:8] |
Generators of the group modulo torsion |
j |
585137119743721/59835972600 |
j-invariant |
L |
15.41392265114 |
L(r)(E,1)/r! |
Ω |
0.42943809923898 |
Real period |
R |
1.4955514622875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890r2 |
Quadratic twists by: -3 |