Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7632p |
Isogeny class |
Conductor |
7632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
618192 = 24 · 36 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-749] |
[a1,a2,a3,a4,a6] |
j |
35995648/53 |
j-invariant |
L |
0.67550226962962 |
L(r)(E,1)/r! |
Ω |
1.3510045392592 |
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 |
1908b1 30528bn1 848d2 |
Quadratic twists by: -4 8 -3 |