Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078ct |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
546254124630031818 = 2 · 33 · 7 · 116 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-279783,44475183] |
[a1,a2,a3,a4,a6] |
Generators |
[4326:55179:8] |
Generators of the group modulo torsion |
j |
501796540869625/113170859802 |
j-invariant |
L |
11.715394499996 |
L(r)(E,1)/r! |
Ω |
0.27522587420213 |
Real period |
R |
7.0944120197251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006r2 |
Quadratic twists by: 13 |