Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642l |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.1463602498752E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4340376,-3477026906] |
[a1,a2,a3,a4,a6] |
Generators |
[-1231:1587:1] |
Generators of the group modulo torsion |
j |
26364012472959273859375/33421581629015616 |
j-invariant |
L |
4.0085956856714 |
L(r)(E,1)/r! |
Ω |
0.10460460120001 |
Real period |
R |
0.79836268347768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136bl2 37926bk2 12642c2 |
Quadratic twists by: -4 -3 -7 |