Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128t |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12811979946196992 = -1 · 220 · 3 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,58303,-525537] |
[a1,a2,a3,a4,a6] |
Generators |
[6826820405958:-357889208667705:2504374712] |
Generators of the group modulo torsion |
j |
83608233481583/48873824868 |
j-invariant |
L |
8.2754798432359 |
L(r)(E,1)/r! |
Ω |
0.23531416938346 |
Real period |
R |
17.583896169359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128bm3 1254h4 120384bv3 |
Quadratic twists by: -4 8 -3 |