Atkin-Lehner |
2- 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7752g |
Isogeny class |
Conductor |
7752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14624861184 = 210 · 32 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3744,89244] |
[a1,a2,a3,a4,a6] |
Generators |
[38:20:1] |
Generators of the group modulo torsion |
j |
5669532745348/14282091 |
j-invariant |
L |
2.3789951827694 |
L(r)(E,1)/r! |
Ω |
1.2522347484233 |
Real period |
R |
1.8997996867319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15504k3 62016bq4 23256c4 |
Quadratic twists by: -4 8 -3 |