Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830d |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1011948620808015000 = -1 · 23 · 33 · 54 · 1110 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-214650,-61652500] |
[a1,a2,a3,a4,a6] |
Generators |
[575:1900:1] |
Generators of the group modulo torsion |
j |
-40509209135606968827/37479578548445000 |
j-invariant |
L |
2.2070009646381 |
L(r)(E,1)/r! |
Ω |
0.10682789686109 |
Real period |
R |
5.1648516667609 |
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 |
16830bv2 84150ea2 |
Quadratic twists by: -3 5 |