Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742be |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-779945932382677038 = -1 · 2 · 39 · 11 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11+ -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,156220,35183269] |
[a1,a2,a3,a4,a6] |
Generators |
[263805195302:10635865562863:170031464] |
Generators of the group modulo torsion |
j |
144703125/267674 |
j-invariant |
L |
11.977328032883 |
L(r)(E,1)/r! |
Ω |
0.19499923008265 |
Real period |
R |
15.355609388568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104742e1 4554u2 |
Quadratic twists by: -3 -23 |