Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830m |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2299482889834680 = -1 · 23 · 39 · 5 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24639,-2739547] |
[a1,a2,a3,a4,a6] |
Generators |
[43674:133045:216] |
Generators of the group modulo torsion |
j |
-84044939142627/116825833960 |
j-invariant |
L |
3.376876762001 |
L(r)(E,1)/r! |
Ω |
0.18132693194141 |
Real period |
R |
9.3115697868092 |
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 |
16830bk2 84150el4 |
Quadratic twists by: -3 5 |