Atkin-Lehner |
3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355b |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
588353244375 = 3 · 54 · 13 · 176 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37570006,-88651625956] |
[a1,a2,a3,a4,a6] |
Generators |
[-30939468982:15466000059:8741816] [275886:-50499817:8] |
Generators of the group modulo torsion |
j |
242970740812818720001/24375 |
j-invariant |
L |
4.9407467133094 |
L(r)(E,1)/r! |
Ω |
0.060980255336766 |
Real period |
R |
81.022073227173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
195a7 |
Quadratic twists by: 17 |