Atkin-Lehner |
2+ 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960q |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-561832893619200 = -1 · 210 · 34 · 52 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17864,-669340] |
[a1,a2,a3,a4,a6] |
Generators |
[56:714:1] |
Generators of the group modulo torsion |
j |
615652396416284/548664935175 |
j-invariant |
L |
8.4958943451127 |
L(r)(E,1)/r! |
Ω |
0.2846520434817 |
Real period |
R |
1.8654122061201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003046 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480o3 |
Quadratic twists by: -4 |