Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144ct |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-16759264150785024 = -1 · 210 · 38 · 113 · 374 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146077,-22422445] |
[a1,a2,a3,a4,a6] |
Generators |
[973427:389940:2197] |
Generators of the group modulo torsion |
j |
-336645064644892672/16366468897251 |
j-invariant |
L |
9.7180302817514 |
L(r)(E,1)/r! |
Ω |
0.12175710029711 |
Real period |
R |
9.976861982095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144q1 19536g1 |
Quadratic twists by: -4 8 |