Atkin-Lehner |
2- 3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63468b |
Isogeny class |
Conductor |
63468 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11257344 |
Modular degree for the optimal curve |
Δ |
-1.391719938591E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -2 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-298314480,-1991274221932] |
[a1,a2,a3,a4,a6] |
j |
-15731829150446623399936000/74573470646379953307 |
j-invariant |
L |
1.9611083022647 |
L(r)(E,1)/r! |
Ω |
0.018158410234783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21156c1 |
Quadratic twists by: -3 |