Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150bi |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31180800 |
Modular degree for the optimal curve |
Δ |
1.0200337014283E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-356447776,-2590235880802] |
[a1,a2,a3,a4,a6] |
Generators |
[32439345369888038111376556515435:-1685124480921374551087815888840347:1409216816410883376594740875] |
Generators of the group modulo torsion |
j |
22095784790981/450000 |
j-invariant |
L |
7.1456382089913 |
L(r)(E,1)/r! |
Ω |
0.03474570340962 |
Real period |
R |
51.413825933187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230r1 126150cg1 |
Quadratic twists by: 5 29 |