Atkin-Lehner |
2- 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850p |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1457000000 = -1 · 26 · 56 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -4 -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,87,1817] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:29:1] |
Generators of the group modulo torsion |
j |
4657463/93248 |
j-invariant |
L |
10.463715911692 |
L(r)(E,1)/r! |
Ω |
1.1306933248596 |
Real period |
R |
0.77118729432842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914c1 |
Quadratic twists by: 5 |