Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63063bf |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-7.7110570484983E+19 |
Discriminant |
Eigenvalues |
2 3- 0 7- 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,829815,-306339903] |
[a1,a2,a3,a4,a6] |
Generators |
[14770:693689:8] |
Generators of the group modulo torsion |
j |
736803680768000/899079608427 |
j-invariant |
L |
12.455663486999 |
L(r)(E,1)/r! |
Ω |
0.10365867027012 |
Real period |
R |
0.71524025818903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21021l1 9009m1 |
Quadratic twists by: -3 -7 |