Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cf |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
168412668750 = 2 · 39 · 55 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 0 3 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4808,127981] |
[a1,a2,a3,a4,a6] |
j |
456076467/6250 |
j-invariant |
L |
2.0434361134278 |
L(r)(E,1)/r! |
Ω |
1.0217173986904 |
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 |
123210p1 123210q1 |
Quadratic twists by: -3 37 |