Atkin-Lehner |
2- 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bz |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-2.6494893615046E+34 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-66331935482,-10225908370511737] |
[a1,a2,a3,a4,a6] |
Generators |
[2439786840933845235195:1088704176577622817277793:5847078977223875] |
Generators of the group modulo torsion |
j |
-274349062822440138956705327559697/225202879880369216454056214528 |
j-invariant |
L |
12.234436332845 |
L(r)(E,1)/r! |
Ω |
0.0045450557248772 |
Real period |
R |
32.04538292858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354w2 |
Quadratic twists by: -7 |