Atkin-Lehner |
2- 3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16218n |
Isogeny class |
Conductor |
16218 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-304493799147493248 = -1 · 27 · 39 · 172 · 535 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-455762,121481425] |
[a1,a2,a3,a4,a6] |
Generators |
[217:5615:1] |
Generators of the group modulo torsion |
j |
-531919440403418907/15469887677056 |
j-invariant |
L |
6.1536816629045 |
L(r)(E,1)/r! |
Ω |
0.30556006592621 |
Real period |
R |
0.14385017521027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744p1 16218b1 |
Quadratic twists by: -4 -3 |