Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9360q |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2729376000 = 28 · 38 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43887,3538766] |
[a1,a2,a3,a4,a6] |
Generators |
[122:20:1] |
Generators of the group modulo torsion |
j |
50091484483024/14625 |
j-invariant |
L |
4.6969362667277 |
L(r)(E,1)/r! |
Ω |
1.1525425858475 |
Real period |
R |
1.3584273947599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4680r1 37440ec1 3120a1 46800ba1 |
Quadratic twists by: -4 8 -3 5 |