Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800dc |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-263694639104000 = -1 · 216 · 53 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -2 13- 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9248,849908] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3040:1] |
Generators of the group modulo torsion |
j |
-170861484149/515028592 |
j-invariant |
L |
6.8265104722195 |
L(r)(E,1)/r! |
Ω |
0.4853471823891 |
Real period |
R |
0.35163027198255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350x1 98800co1 |
Quadratic twists by: -4 5 |