Atkin-Lehner |
3+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48321d |
Isogeny class |
Conductor |
48321 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-144963 = -1 · 33 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 0 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
4492125/5369 |
j-invariant |
L |
3.7391473119936 |
L(r)(E,1)/r! |
Ω |
1.7513216394201 |
Real period |
R |
1.067521587073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48321c1 |
Quadratic twists by: -3 |