Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650ck |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
1760 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
1.232542531584E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1879588,977195792] |
[a1,a2,a3,a4,a6] |
Generators |
[3272:-174436:1] |
Generators of the group modulo torsion |
j |
46999332667159819129/788827220213760 |
j-invariant |
L |
8.3606833725766 |
L(r)(E,1)/r! |
Ω |
0.22560372588276 |
Real period |
R |
0.084225351532388 |
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 |
109200dp1 40950s1 2730e1 95550hf1 |
Quadratic twists by: -4 -3 5 -7 |