Atkin-Lehner |
2- 3+ 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
126540a |
Isogeny class |
Conductor |
126540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
283392 |
Modular degree for the optimal curve |
Δ |
1023949026000 = 24 · 39 · 53 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21708,1230093] |
[a1,a2,a3,a4,a6] |
j |
3592294023168/3251375 |
j-invariant |
L |
0.87107847718079 |
L(r)(E,1)/r! |
Ω |
0.87107889326636 |
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 |
126540c1 |
Quadratic twists by: -3 |