Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309u |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-1416051 = -1 · 32 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3- -3 7- -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40,-115] |
[a1,a2,a3,a4,a6] |
Generators |
[19:68:1] |
Generators of the group modulo torsion |
j |
-139317577/28899 |
j-invariant |
L |
4.8815560040146 |
L(r)(E,1)/r! |
Ω |
0.94157220191561 |
Real period |
R |
1.2961183417699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927i1 36309a1 |
Quadratic twists by: -3 -7 |