Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34272bb |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-67157766144 = -1 · 212 · 39 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,12528] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-108:1] |
Generators of the group modulo torsion |
j |
-13824/833 |
j-invariant |
L |
6.805273224589 |
L(r)(E,1)/r! |
Ω |
0.90939562726185 |
Real period |
R |
0.93541152780217 |
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 |
34272v1 68544de1 34272g1 |
Quadratic twists by: -4 8 -3 |