Atkin-Lehner |
2- 3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302o |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-15275365248 = -1 · 27 · 3 · 115 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 11- 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-904,11657] |
[a1,a2,a3,a4,a6] |
Generators |
[31:105:1] |
Generators of the group modulo torsion |
j |
-81706955619457/15275365248 |
j-invariant |
L |
3.9983205073368 |
L(r)(E,1)/r! |
Ω |
1.1947995851482 |
Real period |
R |
0.095612461036202 |
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 |
48906h1 |
Quadratic twists by: -3 |