Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320c |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
3624960 = 212 · 3 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -3 3 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,181] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
6229504/885 |
j-invariant |
L |
3.6440786059266 |
L(r)(E,1)/r! |
Ω |
2.3961584803262 |
Real period |
R |
0.76040016464824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28320x1 56640bk1 84960bp1 |
Quadratic twists by: -4 8 -3 |