Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544de |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1049340096 = -1 · 26 · 39 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54,1566] |
[a1,a2,a3,a4,a6] |
Generators |
[33:189:1] |
Generators of the group modulo torsion |
j |
-13824/833 |
j-invariant |
L |
5.5556073913003 |
L(r)(E,1)/r! |
Ω |
1.2860796296365 |
Real period |
R |
1.0799501179172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544cw1 34272bb1 68544di1 |
Quadratic twists by: -4 8 -3 |