Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cf |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2967552 |
Modular degree for the optimal curve |
Δ |
-2.01429514711E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1968773,1085461985] |
[a1,a2,a3,a4,a6] |
Generators |
[7710:68807:8] |
Generators of the group modulo torsion |
j |
-14782919881/352836 |
j-invariant |
L |
9.9805666058327 |
L(r)(E,1)/r! |
Ω |
0.21594071481766 |
Real period |
R |
5.7773765586982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914k1 104742bq1 |
Quadratic twists by: -3 -23 |