Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bj |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-3683954387950867800 = -1 · 23 · 324 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2144253,1211172651] |
[a1,a2,a3,a4,a6] |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
3.0018002893517 |
L(r)(E,1)/r! |
Ω |
0.25015002411264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400hc1 34650n1 11550bg1 80850ft1 |
Quadratic twists by: -4 -3 5 -7 |