Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36050x |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-1862076841408000 = -1 · 29 · 53 · 710 · 103 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -1 -7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6025,-2082423] |
[a1,a2,a3,a4,a6] |
Generators |
[159:900:1] |
Generators of the group modulo torsion |
j |
-193471622675253/14896614731264 |
j-invariant |
L |
8.1732497463936 |
L(r)(E,1)/r! |
Ω |
0.20685676668382 |
Real period |
R |
0.21950910170093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36050m1 |
Quadratic twists by: 5 |