Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520d |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-232252160000000 = -1 · 214 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -5 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11979,535955] |
[a1,a2,a3,a4,a6] |
Generators |
[-4930:7613:125] |
Generators of the group modulo torsion |
j |
11601902526464/14175546875 |
j-invariant |
L |
4.8629251989118 |
L(r)(E,1)/r! |
Ω |
0.37346461903635 |
Real period |
R |
6.5105567582722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520bw1 3220b1 |
Quadratic twists by: -4 8 |