Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832t |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
26054992827072 = 26 · 35 · 112 · 614 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40444,3107522] |
[a1,a2,a3,a4,a6] |
Generators |
[137:396:1] |
Generators of the group modulo torsion |
j |
114318569512514368/407109262923 |
j-invariant |
L |
6.5513814971215 |
L(r)(E,1)/r! |
Ω |
0.67218910379639 |
Real period |
R |
1.9492673753825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832a1 64416d3 |
Quadratic twists by: -4 8 |