Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7752h |
Isogeny class |
Conductor |
7752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
5953536 = 211 · 32 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124032,-16771860] |
[a1,a2,a3,a4,a6] |
j |
103038256490713346/2907 |
j-invariant |
L |
2.0351939980796 |
L(r)(E,1)/r! |
Ω |
0.25439924975995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15504j3 62016bo4 23256d4 |
Quadratic twists by: -4 8 -3 |