Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650di |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-8237110785750000 = -1 · 24 · 38 · 56 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21830,-4534203] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/723148272 |
j-invariant |
L |
4.1774544974114 |
L(r)(E,1)/r! |
Ω |
0.17406060405851 |
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 |
11550i1 1386b1 |
Quadratic twists by: -3 5 |