Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770ba |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
11572877721600 = 218 · 35 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11311,432185] |
[a1,a2,a3,a4,a6] |
Generators |
[86:-355:1] |
Generators of the group modulo torsion |
j |
160040212374431089/11572877721600 |
j-invariant |
L |
8.4984798974717 |
L(r)(E,1)/r! |
Ω |
0.70152050788269 |
Real period |
R |
0.13460412540376 |
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 |
50310q1 83850d1 |
Quadratic twists by: -3 5 |