Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12870bp |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
1532160 |
Modular degree for the optimal curve |
Δ |
-2.6793347693359E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9628403,27433323987] |
[a1,a2,a3,a4,a6] |
j |
-135412551115258010417641/367535633653760000000 |
j-invariant |
L |
3.2854677565379 |
L(r)(E,1)/r! |
Ω |
0.086459677803629 |
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 |
102960cv1 1430b1 64350bs1 |
Quadratic twists by: -4 -3 5 |