Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424by |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
283767763968 = 210 · 310 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 6 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5933,-176013] |
[a1,a2,a3,a4,a6] |
j |
22559008000000/277116957 |
j-invariant |
L |
5.4437413354944 |
L(r)(E,1)/r! |
Ω |
0.54437413356374 |
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 |
47424ci1 5928j1 |
Quadratic twists by: -4 8 |