Atkin-Lehner |
2+ 3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650n |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18144000 |
Modular degree for the optimal curve |
Δ |
-2.0225319763968E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- -4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27191500,-41259726000] |
[a1,a2,a3,a4,a6] |
Generators |
[7245:728565:1] |
Generators of the group modulo torsion |
j |
142299429373771428507839/129442046489395200000 |
j-invariant |
L |
1.6140559123075 |
L(r)(E,1)/r! |
Ω |
0.045409981536705 |
Real period |
R |
4.4430097123555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530z1 |
Quadratic twists by: 5 |