Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36192r |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-46904832 = -1 · 29 · 35 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -3 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8,332] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
97336/91611 |
j-invariant |
L |
8.462413866005 |
L(r)(E,1)/r! |
Ω |
1.5742359463569 |
Real period |
R |
1.0751137890847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36192i1 72384by1 108576bq1 |
Quadratic twists by: -4 8 -3 |