Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200bk |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
385024000 = 216 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 5 5 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4993,-134143] |
[a1,a2,a3,a4,a6] |
j |
1680758996/47 |
j-invariant |
L |
2.2717609733214 |
L(r)(E,1)/r! |
Ω |
0.56794024400304 |
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 |
75200dv1 9400n1 75200bw1 |
Quadratic twists by: -4 8 5 |