Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9152j |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-202727489536 = -1 · 223 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 2 -3 -1 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417,22049] |
[a1,a2,a3,a4,a6] |
j |
-30664297/773344 |
j-invariant |
L |
1.680522362501 |
L(r)(E,1)/r! |
Ω |
0.84026118125052 |
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 |
9152s1 286a1 82368x1 100672bv1 |
Quadratic twists by: -4 8 -3 -11 |