Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320n |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-21240000 = -1 · 26 · 32 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54,180] |
[a1,a2,a3,a4,a6] |
Generators |
[24:126:1] |
Generators of the group modulo torsion |
j |
267089984/331875 |
j-invariant |
L |
7.1370861805442 |
L(r)(E,1)/r! |
Ω |
1.4432947212678 |
Real period |
R |
2.4724978465503 |
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 |
28320e1 56640ci2 84960bm1 |
Quadratic twists by: -4 8 -3 |