Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840er |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
487508544000000 = 212 · 311 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128388,-17674688] |
[a1,a2,a3,a4,a6] |
Generators |
[512:7128:1] |
Generators of the group modulo torsion |
j |
78380771974336/163265625 |
j-invariant |
L |
6.8863871433776 |
L(r)(E,1)/r! |
Ω |
0.25224513312499 |
Real period |
R |
3.4125471081972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999922394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840fi1 61920bb1 41280df1 |
Quadratic twists by: -4 8 -3 |