Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cj |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-130471799808 = -1 · 210 · 3 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,987,12309] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:91:1] [25:228:1] |
Generators of the group modulo torsion |
j |
103737344000/127413867 |
j-invariant |
L |
6.9482251310446 |
L(r)(E,1)/r! |
Ω |
0.69708836105481 |
Real period |
R |
1.6612492569642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536x1 6384bc1 76608fi1 |
Quadratic twists by: -4 8 -3 |