Atkin-Lehner |
2+ 3- 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534j |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-3906346919904 = -1 · 25 · 36 · 11 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11+ 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16785,-838211] |
[a1,a2,a3,a4,a6] |
Generators |
[165:847:1] |
Generators of the group modulo torsion |
j |
-717422139167761/5358500576 |
j-invariant |
L |
2.5168300984654 |
L(r)(E,1)/r! |
Ω |
0.20962558907803 |
Real period |
R |
2.401262296641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999250812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726l1 |
Quadratic twists by: -3 |