Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1656b |
Isogeny class |
Conductor |
1656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-268272 = -1 · 24 · 36 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 4 -5 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-25] |
[a1,a2,a3,a4,a6] |
j |
-256/23 |
j-invariant |
L |
2.7395435266992 |
L(r)(E,1)/r! |
Ω |
1.3697717633496 |
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 |
3312h1 13248m1 184a1 41400bz1 |
Quadratic twists by: -4 8 -3 5 |