Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cw |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-1477621617500160 = -1 · 213 · 313 · 5 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28280,-254860] |
[a1,a2,a3,a4,a6] |
Generators |
[758:21384:1] |
Generators of the group modulo torsion |
j |
610641930681719/360747465210 |
j-invariant |
L |
8.7461103109982 |
L(r)(E,1)/r! |
Ω |
0.28013338638306 |
Real period |
R |
0.20013612233039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610h1 |
Quadratic twists by: -4 |