Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224g |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
163848524737536 = 210 · 35 · 23 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 -3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15224,-373728] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:62:1] |
Generators of the group modulo torsion |
j |
381099700944868/160008324939 |
j-invariant |
L |
5.8187144945577 |
L(r)(E,1)/r! |
Ω |
0.44617666333543 |
Real period |
R |
1.3041279324335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17112c1 102672j1 |
Quadratic twists by: -4 -3 |