Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560de |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
25256750400000000 = 212 · 33 · 58 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76336,2701460] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1734:1] |
Generators of the group modulo torsion |
j |
12010404962647729/6166198828125 |
j-invariant |
L |
5.6367578813787 |
L(r)(E,1)/r! |
Ω |
0.33270310404147 |
Real period |
R |
1.4118588547634 |
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 |
1785c4 114240gr3 85680fe3 |
Quadratic twists by: -4 8 -3 |