Atkin-Lehner |
2- 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38352n |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1132645048123392 = -1 · 222 · 32 · 172 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25904,207808] |
[a1,a2,a3,a4,a6] |
j |
469296691776431/276524669952 |
j-invariant |
L |
3.5651187580671 |
L(r)(E,1)/r! |
Ω |
0.29709322983875 |
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 |
4794i1 115056s1 |
Quadratic twists by: -4 -3 |