Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840el |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-313200000000 = -1 · 210 · 33 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48865,4141463] |
[a1,a2,a3,a4,a6] |
Generators |
[146:375:1] |
Generators of the group modulo torsion |
j |
-12601619217266944/305859375 |
j-invariant |
L |
6.4016178374008 |
L(r)(E,1)/r! |
Ω |
0.8960854750105 |
Real period |
R |
0.29766588567373 |
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 |
27840bf1 6960d1 83520eq1 |
Quadratic twists by: -4 8 -3 |