Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100l |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64320 |
Modular degree for the optimal curve |
Δ |
-275500000000 = -1 · 28 · 59 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 0 2 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10333,408537] |
[a1,a2,a3,a4,a6] |
Generators |
[19656:12375:343] |
Generators of the group modulo torsion |
j |
-244047872/551 |
j-invariant |
L |
9.451519520176 |
L(r)(E,1)/r! |
Ω |
0.9798019424328 |
Real period |
R |
4.8231785990576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55100m1 |
Quadratic twists by: 5 |