Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
93492c |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-817868016 = -1 · 24 · 39 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 6 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189,1701] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-27:1] |
Generators of the group modulo torsion |
j |
-48384/53 |
j-invariant |
L |
6.0499187384521 |
L(r)(E,1)/r! |
Ω |
1.4417126175846 |
Real period |
R |
0.6993902786261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93492d1 93492a1 |
Quadratic twists by: -3 -7 |