Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640ck |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-1.3189601989115E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 0 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1578421,-942814621] |
[a1,a2,a3,a4,a6] |
Generators |
[512162:1932435:343] |
Generators of the group modulo torsion |
j |
-106177523183250079744/32201176731237675 |
j-invariant |
L |
6.2929373060536 |
L(r)(E,1)/r! |
Ω |
0.06631318356773 |
Real period |
R |
9.4897228084747 |
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 |
2415b1 115920el1 |
Quadratic twists by: -4 -3 |