Atkin-Lehner |
3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525d |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
486781484765625 = 32 · 58 · 72 · 414 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1470875,-687225000] |
[a1,a2,a3,a4,a6] |
j |
22523270198753323441/31154015025 |
j-invariant |
L |
2.1934391627692 |
L(r)(E,1)/r! |
Ω |
0.13708994767307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64575j4 4305m3 |
Quadratic twists by: -3 5 |