Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088u |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
5358042021888 = 216 · 32 · 173 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15656,740532] |
[a1,a2,a3,a4,a6] |
Generators |
[28:570:1] |
Generators of the group modulo torsion |
j |
103617698471209/1308115728 |
j-invariant |
L |
10.013124978692 |
L(r)(E,1)/r! |
Ω |
0.7661580769205 |
Real period |
R |
3.2673169155048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4386d1 105264bu1 |
Quadratic twists by: -4 -3 |