Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574df |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
4181760 |
Modular degree for the optimal curve |
Δ |
-4.9035162811891E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34385359,78333355673] |
[a1,a2,a3,a4,a6] |
Generators |
[-4588:375821:1] |
Generators of the group modulo torsion |
j |
-178284948703873/1944365472 |
j-invariant |
L |
8.8556044382176 |
L(r)(E,1)/r! |
Ω |
0.11338409906664 |
Real period |
R |
0.11833742643455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722dg1 5082v1 35574bh1 |
Quadratic twists by: -3 -7 -11 |