Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7644g |
Isogeny class |
Conductor |
7644 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
15269899008 = 28 · 3 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-996,10212] |
[a1,a2,a3,a4,a6] |
j |
3631696/507 |
j-invariant |
L |
3.5880622791149 |
L(r)(E,1)/r! |
Ω |
1.196020759705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576bw2 122304ci2 22932s2 156a2 |
Quadratic twists by: -4 8 -3 -7 |