Atkin-Lehner |
3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16965l |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
981188164125 = 36 · 53 · 135 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 3 4 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3702,-72423] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:117:1] |
Generators of the group modulo torsion |
j |
7696715382784/1345937125 |
j-invariant |
L |
5.2326545546508 |
L(r)(E,1)/r! |
Ω |
0.61937944168648 |
Real period |
R |
2.816073746546 |
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 |
1885c1 84825q1 |
Quadratic twists by: -3 5 |