Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128l |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
780730368 = 216 · 3 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15873,775041] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1216:1] |
Generators of the group modulo torsion |
j |
6749136170500/11913 |
j-invariant |
L |
4.8108058261499 |
L(r)(E,1)/r! |
Ω |
1.3643837942661 |
Real period |
R |
1.7629958104052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bq1 5016c1 120384x1 |
Quadratic twists by: -4 8 -3 |