Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37224d |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1790995536 = 24 · 39 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3774,-89215] |
[a1,a2,a3,a4,a6] |
Generators |
[112:945:1] |
Generators of the group modulo torsion |
j |
509661571072/153549 |
j-invariant |
L |
6.6381427836836 |
L(r)(E,1)/r! |
Ω |
0.6091257130486 |
Real period |
R |
2.7244551664301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448e1 12408d1 |
Quadratic twists by: -4 -3 |