Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966bl |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-309888877788 = -1 · 22 · 33 · 76 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1234,-21255] |
[a1,a2,a3,a4,a6] |
Generators |
[45:329:1] |
Generators of the group modulo torsion |
j |
315821241/470596 |
j-invariant |
L |
7.959747879241 |
L(r)(E,1)/r! |
Ω |
0.51273951223339 |
Real period |
R |
3.8809900869655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966e2 105966f2 |
Quadratic twists by: -3 29 |