Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bw |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
Δ |
-8289883101659258880 = -1 · 213 · 33 · 5 · 1110 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,484243,-48774699] |
[a1,a2,a3,a4,a6] |
Generators |
[239:8856:1] |
Generators of the group modulo torsion |
j |
465104823145335330957/307032707468861440 |
j-invariant |
L |
7.4686097547531 |
L(r)(E,1)/r! |
Ω |
0.13265253673196 |
Real period |
R |
0.43309269225224 |
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 |
16830e2 84150o2 |
Quadratic twists by: -3 5 |