Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800cn |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-3.6273005896359E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,137292,-916070787] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:21711:1] |
Generators of the group modulo torsion |
j |
1831623545600/2321472377367 |
j-invariant |
L |
7.8176237379773 |
L(r)(E,1)/r! |
Ω |
0.07909026234392 |
Real period |
R |
6.1777704235179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800n1 |
Quadratic twists by: 5 |