Atkin-Lehner |
3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675b |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-481643233115859375 = -1 · 3 · 57 · 112 · 198 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,174125,-18170000] |
[a1,a2,a3,a4,a6] |
Generators |
[17036314686:-11224722997565:39304] |
Generators of the group modulo torsion |
j |
37366565088983759/30825166919415 |
j-invariant |
L |
4.620961079455 |
L(r)(E,1)/r! |
Ω |
0.16335617489595 |
Real period |
R |
14.143821261725 |
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 |
47025ba5 3135e6 |
Quadratic twists by: -3 5 |