Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899i |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-915193583542251 = -1 · 310 · 138 · 19 |
Discriminant |
Eigenvalues |
0 3- 1 3 -3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8112,-1482426] |
[a1,a2,a3,a4,a6] |
Generators |
[132314:2491987:343] |
Generators of the group modulo torsion |
j |
-16777216/260091 |
j-invariant |
L |
5.436197971974 |
L(r)(E,1)/r! |
Ω |
0.2133500455002 |
Real period |
R |
6.3700454799868 |
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 |
9633k1 2223d1 |
Quadratic twists by: -3 13 |