Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gx |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
559836168192 = 217 · 39 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8999436,-10391327984] |
[a1,a2,a3,a4,a6] |
Generators |
[3466410:-8081689:1000] |
Generators of the group modulo torsion |
j |
843591384940292354/5859 |
j-invariant |
L |
4.5888489065252 |
L(r)(E,1)/r! |
Ω |
0.087165721935086 |
Real period |
R |
13.161277608172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999998686448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992bk4 31248w4 41664ej4 |
Quadratic twists by: -4 8 -3 |