Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642c |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.3486813703757E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -4 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-212678400,1192407550272] |
[a1,a2,a3,a4,a6] |
j |
26364012472959273859375/33421581629015616 |
j-invariant |
L |
0.34174122720518 |
L(r)(E,1)/r! |
Ω |
0.085435306801294 |
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 |
101136cu2 37926bj2 12642l2 |
Quadratic twists by: -4 -3 -7 |