Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11858bb |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
133568512 = 211 · 72 · 113 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 11+ -3 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1240,16281] |
[a1,a2,a3,a4,a6] |
Generators |
[17:13:1] |
Generators of the group modulo torsion |
j |
3233229419/2048 |
j-invariant |
L |
3.7333576387633 |
L(r)(E,1)/r! |
Ω |
1.8274830098539 |
Real period |
R |
0.092858906799253 |
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 |
94864bs1 106722ci1 11858v1 11858g1 |
Quadratic twists by: -4 -3 -7 -11 |