Atkin-Lehner |
2+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
90304i |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
-23117824 = -1 · 214 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 0 3 -2 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176,928] |
[a1,a2,a3,a4,a6] |
Generators |
[66:49:8] |
Generators of the group modulo torsion |
j |
-36799488/1411 |
j-invariant |
L |
7.2041547349572 |
L(r)(E,1)/r! |
Ω |
2.1224111238345 |
Real period |
R |
3.3943257546499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304r1 11288a1 |
Quadratic twists by: -4 8 |