Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950ce |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
84677906250000 = 24 · 38 · 59 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29588,1905792] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1744:1] |
Generators of the group modulo torsion |
j |
183337554283129/5419386000 |
j-invariant |
L |
10.459678452086 |
L(r)(E,1)/r! |
Ω |
0.60400167010048 |
Real period |
R |
2.1646625683302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390c1 |
Quadratic twists by: 5 |