Atkin-Lehner |
2+ 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136g |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
111345379329024 = 210 · 310 · 232 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16064,-602364] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:432:1] |
Generators of the group modulo torsion |
j |
447725548180228/108735722001 |
j-invariant |
L |
5.9488275160324 |
L(r)(E,1)/r! |
Ω |
0.43156796142718 |
Real period |
R |
1.3784219514182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000727 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32568b2 |
Quadratic twists by: -4 |