Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350cq |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-4247100000000 = -1 · 28 · 33 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21980,1263647] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:4495:27] [-105:1603:1] |
Generators of the group modulo torsion |
j |
-2783584838763/10067200 |
j-invariant |
L |
13.626041186972 |
L(r)(E,1)/r! |
Ω |
0.78192170337439 |
Real period |
R |
0.54457343395777 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350j1 12870h1 |
Quadratic twists by: -3 5 |