Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400ce |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
3444525000000 = 26 · 39 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7425,-229500] |
[a1,a2,a3,a4,a6] |
j |
2299968/175 |
j-invariant |
L |
2.0671460915948 |
L(r)(E,1)/r! |
Ω |
0.51678652296795 |
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 |
50400h1 100800e2 50400b1 10080f1 |
Quadratic twists by: -4 8 -3 5 |