Atkin-Lehner |
2+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480s |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-364544000 = -1 · 215 · 53 · 89 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -3 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,1264] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:40:1] [-2:40:1] |
Generators of the group modulo torsion |
j |
-17173512/11125 |
j-invariant |
L |
5.2765948246615 |
L(r)(E,1)/r! |
Ω |
1.5693185570281 |
Real period |
R |
0.28019565143044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28480r1 14240l1 |
Quadratic twists by: -4 8 |