Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320a |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
205549569000000 = 26 · 310 · 56 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14766,-29520] |
[a1,a2,a3,a4,a6] |
Generators |
[-2924969:-1093388:24389] |
Generators of the group modulo torsion |
j |
5563674858425536/3211712015625 |
j-invariant |
L |
4.6452124260523 |
L(r)(E,1)/r! |
Ω |
0.47267297600329 |
Real period |
R |
9.8275396772841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28320k1 56640da2 84960bn1 |
Quadratic twists by: -4 8 -3 |