Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bp |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-829436002395 = -1 · 3 · 5 · 74 · 116 · 13 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11+ 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,474,-43480] |
[a1,a2,a3,a4,a6] |
Generators |
[1020:4645:27] |
Generators of the group modulo torsion |
j |
4894969856/345454395 |
j-invariant |
L |
3.7379213325302 |
L(r)(E,1)/r! |
Ω |
0.42506213321221 |
Real period |
R |
1.4656372529937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998632756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105z1 |
Quadratic twists by: -7 |