Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440co |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
349626716651520 = 222 · 39 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33507,2182626] |
[a1,a2,a3,a4,a6] |
Generators |
[130:154:1] |
Generators of the group modulo torsion |
j |
51603494067/4336640 |
j-invariant |
L |
7.6978443385323 |
L(r)(E,1)/r! |
Ω |
0.52611273173903 |
Real period |
R |
3.6578873091566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930c1 55440ca1 |
Quadratic twists by: -4 -3 |