Atkin-Lehner |
3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
1659c |
Isogeny class |
Conductor |
1659 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-731619 = -1 · 33 · 73 · 79 |
Discriminant |
Eigenvalues |
2 3+ 3 7- 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6,-43] |
[a1,a2,a3,a4,a6] |
j |
20123648/731619 |
j-invariant |
L |
4.1133387133817 |
L(r)(E,1)/r! |
Ω |
1.3711129044606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26544r1 106176x1 4977d1 41475m1 |
Quadratic twists by: -4 8 -3 5 |