Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800bm |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-25056000 = -1 · 28 · 33 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -1 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,243] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] |
Generators of the group modulo torsion |
j |
1024/783 |
j-invariant |
L |
7.5072038168093 |
L(r)(E,1)/r! |
Ω |
1.6566876882298 |
Real period |
R |
0.75524230971485 |
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 |
17400bh1 104400ce1 34800n1 |
Quadratic twists by: -4 -3 5 |