Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bv |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-733824000000 = -1 · 213 · 32 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1344,37044] |
[a1,a2,a3,a4,a6] |
j |
65499561791/179156250 |
j-invariant |
L |
2.529241693363 |
L(r)(E,1)/r! |
Ω |
0.63231042334074 |
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 |
2730q2 87360fo2 65520ed2 109200de2 |
Quadratic twists by: -4 8 -3 5 |