Atkin-Lehner |
2+ 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336d |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
2270525064192 = 210 · 39 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21195,1185462] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:1232:1] [-102:1512:1] |
Generators of the group modulo torsion |
j |
52243555500/112651 |
j-invariant |
L |
11.575318766012 |
L(r)(E,1)/r! |
Ω |
0.82163549529873 |
Real period |
R |
3.5220358760918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105336bi1 |
Quadratic twists by: -3 |