Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520d |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
3065299200 = 28 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500,3552] |
[a1,a2,a3,a4,a6] |
Generators |
[4:40:1] |
Generators of the group modulo torsion |
j |
54108072016/11973825 |
j-invariant |
L |
4.1308014314874 |
L(r)(E,1)/r! |
Ω |
1.3417246438488 |
Real period |
R |
1.5393625847246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8760h1 70080cf1 52560c1 87600n1 |
Quadratic twists by: -4 8 -3 5 |