Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162p |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-4768686541208970576 = -1 · 24 · 37 · 711 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 -3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,405711,-33942483] |
[a1,a2,a3,a4,a6] |
Generators |
[303:10653:1] |
Generators of the group modulo torsion |
j |
86110813111679/55601051856 |
j-invariant |
L |
4.1394455198944 |
L(r)(E,1)/r! |
Ω |
0.13947178740005 |
Real period |
R |
0.92748271824794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054bl1 5166m1 |
Quadratic twists by: -3 -7 |