Atkin-Lehner |
2- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
102200p |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-638750000 = -1 · 24 · 57 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-383,-3262] |
[a1,a2,a3,a4,a6] |
Generators |
[23:25:1] |
Generators of the group modulo torsion |
j |
-24918016/2555 |
j-invariant |
L |
5.1173053464895 |
L(r)(E,1)/r! |
Ω |
0.53636668349357 |
Real period |
R |
1.1925855727299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20440d1 |
Quadratic twists by: 5 |