Atkin-Lehner |
2- 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93060d |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
87323316300000000 = 28 · 33 · 58 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6255687,-6022258866] |
[a1,a2,a3,a4,a6] |
Generators |
[109098:36025500:1] |
Generators of the group modulo torsion |
j |
3916922830533560443248/12633581640625 |
j-invariant |
L |
9.3492887949466 |
L(r)(E,1)/r! |
Ω |
0.095462078489777 |
Real period |
R |
6.1210750723808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93060c2 |
Quadratic twists by: -3 |