Atkin-Lehner |
3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525ba |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
23455859765625 = 36 · 58 · 72 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20313,1087992] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:864:1] [-72:1512:1] |
Generators of the group modulo torsion |
j |
59323563117001/1501175025 |
j-invariant |
L |
5.8335144809073 |
L(r)(E,1)/r! |
Ω |
0.6734901169618 |
Real period |
R |
1.4436030893381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64575z2 4305d2 |
Quadratic twists by: -3 5 |