Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120d |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1863324000000 = -1 · 28 · 38 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4287,-126434] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1080:1] |
Generators of the group modulo torsion |
j |
-46689225424/9984375 |
j-invariant |
L |
7.3250686923579 |
L(r)(E,1)/r! |
Ω |
0.29166814689158 |
Real period |
R |
2.0928661478236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25560k1 17040f1 |
Quadratic twists by: -4 -3 |