Atkin-Lehner |
2- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89908k |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
284544 |
Modular degree for the optimal curve |
Δ |
-361061994651904 = -1 · 28 · 7 · 139 · 19 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 5 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16844,363156] |
[a1,a2,a3,a4,a6] |
Generators |
[80113:1682902:1331] |
Generators of the group modulo torsion |
j |
194672/133 |
j-invariant |
L |
4.1384846240663 |
L(r)(E,1)/r! |
Ω |
0.33893769087735 |
Real period |
R |
6.1050817503838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89908e1 |
Quadratic twists by: 13 |