Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bh |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
-1.4008805519414E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11+ 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2958867,-1966527959] |
[a1,a2,a3,a4,a6] |
Generators |
[3946964:416375849:343] |
Generators of the group modulo torsion |
j |
-402413512831225/1967766372 |
j-invariant |
L |
5.4685763342007 |
L(r)(E,1)/r! |
Ω |
0.057538848191931 |
Real period |
R |
11.88018292313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450by1 64350ey1 |
Quadratic twists by: -3 5 |