Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360o |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
706244316506357760 = 225 · 312 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3516880,-2539393132] |
[a1,a2,a3,a4,a6] |
j |
1174455422712147024721/172422928834560 |
j-invariant |
L |
2.6459109555472 |
L(r)(E,1)/r! |
Ω |
0.11024628981447 |
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 |
2670c2 85440x2 64080x2 106800ba2 |
Quadratic twists by: -4 8 -3 5 |