Atkin-Lehner |
3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309k |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65034974277 = 310 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1170,8826] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:137:1] |
Generators of the group modulo torsion |
j |
516428708167/189606339 |
j-invariant |
L |
2.4539500141151 |
L(r)(E,1)/r! |
Ω |
1.0087894828107 |
Real period |
R |
1.2162844953924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108927u2 36309y2 |
Quadratic twists by: -3 -7 |