Atkin-Lehner |
2+ 3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672k |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
696276443302771968 = 28 · 36 · 74 · 133 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28125748,57421568368] |
[a1,a2,a3,a4,a6] |
j |
9611607022756032287698000/2719829856651453 |
j-invariant |
L |
1.8351567683734 |
L(r)(E,1)/r! |
Ω |
0.22939467502896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336a2 |
Quadratic twists by: -4 |