Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244k |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
160374272696064 = 28 · 36 · 74 · 713 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23079,1204126] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:1386:1] [-66:1562:1] |
Generators of the group modulo torsion |
j |
3033996112/357911 |
j-invariant |
L |
9.608148065752 |
L(r)(E,1)/r! |
Ω |
0.55598929611262 |
Real period |
R |
2.8801957570837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956985 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13916b2 125244ba2 |
Quadratic twists by: -3 -7 |