Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39396a |
Isogeny class |
Conductor |
39396 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-4413181522176 = -1 · 28 · 37 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4100,-4136] |
[a1,a2,a3,a4,a6] |
Generators |
[90:1042:1] |
Generators of the group modulo torsion |
j |
253012016/146529 |
j-invariant |
L |
5.4615264139628 |
L(r)(E,1)/r! |
Ω |
0.4617157095256 |
Real period |
R |
3.9429215144626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188s1 804d1 |
Quadratic twists by: -3 -7 |