Atkin-Lehner |
2- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36080n |
Isogeny class |
Conductor |
36080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1573600624640000 = 222 · 54 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195827,-33300046] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:230:1] |
Generators of the group modulo torsion |
j |
202759623605005641/384179840000 |
j-invariant |
L |
5.1476837333505 |
L(r)(E,1)/r! |
Ω |
0.22697647353275 |
Real period |
R |
2.8349214200652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4510d1 |
Quadratic twists by: -4 |