Atkin-Lehner |
2- 3- 5+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210bc |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-1251164475000 = -1 · 23 · 36 · 55 · 11 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13568,-607269] |
[a1,a2,a3,a4,a6] |
Generators |
[12852:132819:64] |
Generators of the group modulo torsion |
j |
-378890468381881/1716275000 |
j-invariant |
L |
8.1968993504877 |
L(r)(E,1)/r! |
Ω |
0.22111866494306 |
Real period |
R |
6.178356276787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8690c1 |
Quadratic twists by: -3 |