Atkin-Lehner |
2+ 3+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
83472f |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-96159744 = -1 · 211 · 33 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -4 -6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-864,-9504] |
[a1,a2,a3,a4,a6] |
j |
-34868843714/46953 |
j-invariant |
L |
1.7608572369875 |
L(r)(E,1)/r! |
Ω |
0.4402143395354 |
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 |
41736g1 |
Quadratic twists by: -4 |