Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2088c |
Isogeny class |
Conductor |
2088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-622143098352 = -1 · 24 · 313 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 5 1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,37703] |
[a1,a2,a3,a4,a6] |
j |
1192310528/53338743 |
j-invariant |
L |
2.770760181682 |
L(r)(E,1)/r! |
Ω |
0.69269004542049 |
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 |
4176f1 16704bj1 696f1 52200bu1 |
Quadratic twists by: -4 8 -3 5 |