Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144bp |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
41260032 = 210 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5973,-179685] |
[a1,a2,a3,a4,a6] |
j |
23018340352000/40293 |
j-invariant |
L |
4.3444559271089 |
L(r)(E,1)/r! |
Ω |
0.54305699564869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bw1 4884a1 |
Quadratic twists by: -4 8 |