Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248cj |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.8560840551024E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3738669,-2411193710] |
[a1,a2,a3,a4,a6] |
Generators |
[62758476:2322145085:85184] |
Generators of the group modulo torsion |
j |
1935473755102091567/1961190701324064 |
j-invariant |
L |
4.4836377120032 |
L(r)(E,1)/r! |
Ω |
0.073239152310613 |
Real period |
R |
15.304784294156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906b4 124992gt3 10416bo4 |
Quadratic twists by: -4 8 -3 |