Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450ch |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-5967000 = -1 · 23 · 33 · 53 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -3 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35,-133] |
[a1,a2,a3,a4,a6] |
Generators |
[9:10:1] |
Generators of the group modulo torsion |
j |
-1367631/1768 |
j-invariant |
L |
8.1388352914397 |
L(r)(E,1)/r! |
Ω |
0.93828620438395 |
Real period |
R |
0.72284583415592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450j1 99450h1 |
Quadratic twists by: -3 5 |