Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21756n |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
2368445184 = 28 · 36 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1444,20516] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:204:1] [-4:162:1] |
Generators of the group modulo torsion |
j |
3794826544/26973 |
j-invariant |
L |
7.7331302598783 |
L(r)(E,1)/r! |
Ω |
1.4610685780299 |
Real period |
R |
0.58808786148887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024cb2 65268i2 21756e2 |
Quadratic twists by: -4 -3 -7 |