Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650dg |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
1512 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
4154124828672000 = 218 · 37 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-89233,9772457] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:4475:1] |
Generators of the group modulo torsion |
j |
628623316769266853/33232998629376 |
j-invariant |
L |
8.3983083587708 |
L(r)(E,1)/r! |
Ω |
0.43256497173853 |
Real period |
R |
0.051362797342511 |
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 |
109200ej1 40950cm1 13650q1 95550im1 |
Quadratic twists by: -4 -3 5 -7 |