Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830m |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-3455872620750 = -1 · 2 · 33 · 53 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2586,73098] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:44:1] |
Generators of the group modulo torsion |
j |
70819203762117/127995282250 |
j-invariant |
L |
3.376876762001 |
L(r)(E,1)/r! |
Ω |
0.54398079582424 |
Real period |
R |
3.1038565956031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
16830bk4 84150el2 |
Quadratic twists by: -3 5 |