Atkin-Lehner |
2- 3- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51792o |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-824800444416 = -1 · 220 · 36 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1944,-55404] |
[a1,a2,a3,a4,a6] |
j |
-198461344537/201367296 |
j-invariant |
L |
2.0724052346687 |
L(r)(E,1)/r! |
Ω |
0.3454008724565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6474e1 |
Quadratic twists by: -4 |