Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162cu |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-1912526765162496 = -1 · 217 · 311 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16169,2252009] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:1540:1] [-123:1600:1] |
Generators of the group modulo torsion |
j |
-13086527004313/53540683776 |
j-invariant |
L |
10.527708077688 |
L(r)(E,1)/r! |
Ω |
0.40793894585327 |
Real period |
R |
0.18975785225993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054u1 36162cb1 |
Quadratic twists by: -3 -7 |