Atkin-Lehner |
3+ 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16215a |
Isogeny class |
Conductor |
16215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12032 |
Modular degree for the optimal curve |
Δ |
3800390625 = 32 · 58 · 23 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-411,-1392] |
[a1,a2,a3,a4,a6] |
j |
7679186557489/3800390625 |
j-invariant |
L |
1.1155748634831 |
L(r)(E,1)/r! |
Ω |
1.1155748634831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48645g1 81075r1 |
Quadratic twists by: -3 5 |