Atkin-Lehner |
2+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570b |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
79073280 |
Modular degree for the optimal curve |
Δ |
-8.7330537222103E+23 |
Discriminant |
Eigenvalues |
2+ 3 5+ 4 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1324653550,-18556458707500] |
[a1,a2,a3,a4,a6] |
Generators |
[15617391225196255813496341217928967435086612:2754693526457496380069522923283019802844700502:264494609254409753352109601496278360799] |
Generators of the group modulo torsion |
j |
-315125695344049881290649/1070580462080000 |
j-invariant |
L |
9.7254716133317 |
L(r)(E,1)/r! |
Ω |
0.012512494325899 |
Real period |
R |
64.771735088833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89570ba1 |
Quadratic twists by: 13 |