Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127300d |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-135719303750000 = -1 · 24 · 57 · 192 · 673 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21013758,-37069920863] |
[a1,a2,a3,a4,a6] |
Generators |
[25243:3939151:1] |
Generators of the group modulo torsion |
j |
-4104827428545499507456/542877215 |
j-invariant |
L |
4.3306696127249 |
L(r)(E,1)/r! |
Ω |
0.035256859556804 |
Real period |
R |
10.235997826991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999053388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25460d2 |
Quadratic twists by: 5 |