Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215y |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3271694899278015 = 39 · 5 · 74 · 614 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40667,-1535844] |
[a1,a2,a3,a4,a6] |
Generators |
[234:1194:1] |
Generators of the group modulo torsion |
j |
10202640382603369/4487921672535 |
j-invariant |
L |
3.8270648598402 |
L(r)(E,1)/r! |
Ω |
0.35008250793293 |
Real period |
R |
2.7329734941894 |
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 |
6405d3 96075z3 |
Quadratic twists by: -3 5 |