Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200r |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
864162432000 = 210 · 39 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15795,-762750] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:28:1] |
Generators of the group modulo torsion |
j |
172974204/343 |
j-invariant |
L |
5.8581254465265 |
L(r)(E,1)/r! |
Ω |
0.42591347777123 |
Real period |
R |
1.14618847729 |
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 |
12600bp1 100800kp1 25200q1 25200p1 |
Quadratic twists by: -4 8 -3 5 |