Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656r |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-490999418011648 = -1 · 214 · 72 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63740,-6285008] |
[a1,a2,a3,a4,a6] |
Generators |
[414678:2694328:1331] |
Generators of the group modulo torsion |
j |
-1747994050962000/29968226197 |
j-invariant |
L |
5.1405266552677 |
L(r)(E,1)/r! |
Ω |
0.15008060542655 |
Real period |
R |
8.5629429966418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999583537 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110656bd2 6916e2 |
Quadratic twists by: -4 8 |