Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650dd |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
133739424000 = 28 · 38 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8698,311012] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-586:1] |
Generators of the group modulo torsion |
j |
582203792000501/1069915392 |
j-invariant |
L |
8.7967085430696 |
L(r)(E,1)/r! |
Ω |
1.0391340043469 |
Real period |
R |
0.13227222900078 |
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 |
109200ef1 40950ch1 13650o1 95550ic1 |
Quadratic twists by: -4 -3 5 -7 |