Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650be |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.4267201084199E+26 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-167374826,364554553548] |
[a1,a2,a3,a4,a6] |
Generators |
[249777:124541861:1] |
Generators of the group modulo torsion |
j |
149867676441074717/70134796121104 |
j-invariant |
L |
3.2006187552461 |
L(r)(E,1)/r! |
Ω |
0.049652914060321 |
Real period |
R |
8.0574796417201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78650di2 7150w2 |
Quadratic twists by: 5 -11 |