Atkin-Lehner |
2- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90304r |
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 |
[355737008:2808664201:5451776] |
Generators of the group modulo torsion |
j |
-36799488/1411 |
j-invariant |
L |
9.5671980988206 |
L(r)(E,1)/r! |
Ω |
0.6539065182763 |
Real period |
R |
14.630834577772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304i1 22576c1 |
Quadratic twists by: -4 8 |