Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848cf |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.7897421548172E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20029251,-42850514806] |
[a1,a2,a3,a4,a6] |
j |
-1343891598641864/421900912521 |
j-invariant |
L |
2.2475913470771 |
L(r)(E,1)/r! |
Ω |
0.035118614798054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848bb2 69696ck3 11616d4 3168i4 |
Quadratic twists by: -4 8 -3 -11 |