Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9372c |
Isogeny class |
Conductor |
9372 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2133974709504 = 28 · 36 · 115 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137765,-19727289] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:6:1] |
Generators of the group modulo torsion |
j |
1129545133666533376/8335838709 |
j-invariant |
L |
5.9401392277691 |
L(r)(E,1)/r! |
Ω |
0.24780767905054 |
Real period |
R |
1.3317090743131 |
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 |
37488r1 28116h1 103092g1 |
Quadratic twists by: -4 -3 -11 |