Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256cx |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-2969051904 = -1 · 28 · 32 · 73 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,-2601] |
[a1,a2,a3,a4,a6] |
Generators |
[15:42:1] |
Generators of the group modulo torsion |
j |
56188928/11597859 |
j-invariant |
L |
11.233391795754 |
L(r)(E,1)/r! |
Ω |
0.67193067370772 |
Real period |
R |
0.69658673099554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564c1 |
Quadratic twists by: -4 |