Atkin-Lehner |
2+ 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016d |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-10082734848 = -1 · 28 · 310 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 4 -5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369,-5427] |
[a1,a2,a3,a4,a6] |
j |
-21764027392/39385683 |
j-invariant |
L |
1.0270764294619 |
L(r)(E,1)/r! |
Ω |
0.51353821473303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16008f1 128064dt1 96048j1 |
Quadratic twists by: -4 8 -3 |