Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872cx |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4792320 |
Modular degree for the optimal curve |
Δ |
-5.3270732007468E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1313608,111046956404] |
[a1,a2,a3,a4,a6] |
Generators |
[6740:639078:1] |
Generators of the group modulo torsion |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
6.4028234092245 |
L(r)(E,1)/r! |
Ω |
0.0610284416934 |
Real period |
R |
6.557212538491 |
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 |
3234c1 103488fg1 77616fd1 3696r1 |
Quadratic twists by: -4 8 -3 -7 |