Atkin-Lehner |
2+ 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
25896d |
Isogeny class |
Conductor |
25896 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-3699251472384 = -1 · 211 · 35 · 13 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 3 0 3 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2824,-110032] |
[a1,a2,a3,a4,a6] |
Generators |
[538:747:8] |
Generators of the group modulo torsion |
j |
-1216582639634/1806275133 |
j-invariant |
L |
8.2176076024863 |
L(r)(E,1)/r! |
Ω |
0.31095334524206 |
Real period |
R |
1.7618093364005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51792a1 77688c1 |
Quadratic twists by: -4 -3 |