Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25662y |
Isogeny class |
Conductor |
25662 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-52458876288 = -1 · 27 · 34 · 72 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,91,-11007] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-1145:1] |
Generators of the group modulo torsion |
j |
83281698863/52458876288 |
j-invariant |
L |
8.4591627645922 |
L(r)(E,1)/r! |
Ω |
0.5245394485693 |
Real period |
R |
0.095993083933698 |
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 |
76986m1 |
Quadratic twists by: -3 |