Atkin-Lehner |
2+ 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36050m |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1080000 |
Modular degree for the optimal curve |
Δ |
-2.9094950647E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -1 7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150617,-260453459] |
[a1,a2,a3,a4,a6] |
Generators |
[26769:4365803:1] [119220:4864841:64] |
Generators of the group modulo torsion |
j |
-193471622675253/14896614731264 |
j-invariant |
L |
6.5145639946018 |
L(r)(E,1)/r! |
Ω |
0.092509158382165 |
Real period |
R |
17.605186633765 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36050x1 |
Quadratic twists by: 5 |