Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2088a |
Isogeny class |
Conductor |
2088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-9132912 = -1 · 24 · 39 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 3 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,-621] |
[a1,a2,a3,a4,a6] |
Generators |
[15:27:1] |
Generators of the group modulo torsion |
j |
-864000/29 |
j-invariant |
L |
3.0336482430225 |
L(r)(E,1)/r! |
Ω |
0.69892328072638 |
Real period |
R |
1.0851148926781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4176a1 16704i1 2088i1 52200bk1 |
Quadratic twists by: -4 8 -3 5 |