Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350bq |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-565724273437500 = -1 · 22 · 3 · 59 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21826,-1689952] |
[a1,a2,a3,a4,a6] |
Generators |
[97095:2603543:125] |
Generators of the group modulo torsion |
j |
-24389/12 |
j-invariant |
L |
5.2233380431456 |
L(r)(E,1)/r! |
Ω |
0.19190310936164 |
Real period |
R |
6.8046553030467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43350cn1 150b1 |
Quadratic twists by: 5 17 |