Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675s |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1133945419921875 = 34 · 510 · 11 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-123501,-16636727] |
[a1,a2,a3,a4,a6] |
Generators |
[3286:9603:8] |
Generators of the group modulo torsion |
j |
13332452758522561/72572506875 |
j-invariant |
L |
7.1087453908682 |
L(r)(E,1)/r! |
Ω |
0.25475615663953 |
Real period |
R |
3.4880145217289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47025n3 3135b3 |
Quadratic twists by: -3 5 |