Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.2441213476658E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6981919,10831266975] |
[a1,a2,a3,a4,a6] |
Generators |
[31647570262100622:7724393139116217025:64413688156056] |
Generators of the group modulo torsion |
j |
143584693754978072519/276341298967965000 |
j-invariant |
L |
6.6282930121485 |
L(r)(E,1)/r! |
Ω |
0.075336135737711 |
Real period |
R |
21.995729366615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920q7 18480cc8 |
Quadratic twists by: -4 8 |