Atkin-Lehner |
2+ 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640m |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
7168500000000000000 = 214 · 35 · 515 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -3 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134831285,-602561977683] |
[a1,a2,a3,a4,a6] |
j |
16545343830589964801941504/437530517578125 |
j-invariant |
L |
0.66457369322038 |
L(r)(E,1)/r! |
Ω |
0.044304912859798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640dh2 3540g2 |
Quadratic twists by: -4 8 |