Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640t |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
5436014062500000000 = 28 · 32 · 514 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1055516,-402388980] |
[a1,a2,a3,a4,a6] |
Generators |
[1351:25284:1] |
Generators of the group modulo torsion |
j |
508017439289666674384/21234429931640625 |
j-invariant |
L |
6.9975411401255 |
L(r)(E,1)/r! |
Ω |
0.1493318725716 |
Real period |
R |
4.6858992789835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320b1 115920bv1 |
Quadratic twists by: -4 -3 |