Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492d |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1121904 = -1 · 24 · 33 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -6 -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,-63] |
[a1,a2,a3,a4,a6] |
j |
-48384/53 |
j-invariant |
L |
2.1381488997182 |
L(r)(E,1)/r! |
Ω |
1.0690744771722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93492c1 93492b1 |
Quadratic twists by: -3 -7 |