Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120be |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-5822887500000000 = -1 · 28 · 38 · 511 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 2 -3 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498288,-135434212] |
[a1,a2,a3,a4,a6] |
Generators |
[816158:37809682:343] |
Generators of the group modulo torsion |
j |
-73315787495243776/31201171875 |
j-invariant |
L |
4.0003553601309 |
L(r)(E,1)/r! |
Ω |
0.08984385235387 |
Real period |
R |
11.13141092947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12780d1 17040r1 |
Quadratic twists by: -4 -3 |