Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cx |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-75086708400 = -1 · 24 · 310 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,655,11718] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:102:1] |
Generators of the group modulo torsion |
j |
1939386712064/4692919275 |
j-invariant |
L |
9.0534284389791 |
L(r)(E,1)/r! |
Ω |
0.76013864278243 |
Real period |
R |
1.1910233119895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220f1 |
Quadratic twists by: -4 |