Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37944h |
Isogeny class |
Conductor |
37944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
732672 |
Modular degree for the optimal curve |
Δ |
-2.3344099392317E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,483570,193093173] |
[a1,a2,a3,a4,a6] |
j |
39709140509952000/74125194940801 |
j-invariant |
L |
0.58790405737066 |
L(r)(E,1)/r! |
Ω |
0.14697601434854 |
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 |
75888a1 37944a1 |
Quadratic twists by: -4 -3 |