Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840el |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1253880000 = -1 · 26 · 36 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 1 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288,-2538] |
[a1,a2,a3,a4,a6] |
Generators |
[411:8325:1] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
7.5591327674962 |
L(r)(E,1)/r! |
Ω |
0.56658155587086 |
Real period |
R |
3.3354124684094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840bz1 30960bz1 13760q1 |
Quadratic twists by: -4 8 -3 |