Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16324h |
Isogeny class |
Conductor |
16324 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2298062945024 = -1 · 28 · 74 · 113 · 532 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3299,329] |
[a1,a2,a3,a4,a6] |
Generators |
[403:8162:1] |
Generators of the group modulo torsion |
j |
15505973682176/8976808379 |
j-invariant |
L |
3.501004202432 |
L(r)(E,1)/r! |
Ω |
0.49054829811226 |
Real period |
R |
0.099123895759566 |
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 |
65296l1 114268g1 |
Quadratic twists by: -4 -7 |