Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360s |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-56844504000 = -1 · 26 · 39 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,783,-7776] |
[a1,a2,a3,a4,a6] |
Generators |
[28:190:1] |
Generators of the group modulo torsion |
j |
42144192/45125 |
j-invariant |
L |
4.7365983745922 |
L(r)(E,1)/r! |
Ω |
0.60345653903079 |
Real period |
R |
1.3081854472899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360u1 54720cy1 27360a1 |
Quadratic twists by: -4 8 -3 |