Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640m |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
397605600000000 = 211 · 32 · 58 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19040,326112] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:980:1] |
Generators of the group modulo torsion |
j |
372749784765122/194143359375 |
j-invariant |
L |
5.4341697646504 |
L(r)(E,1)/r! |
Ω |
0.46902806946655 |
Real period |
R |
0.72412640607402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320ba3 115920bc3 |
Quadratic twists by: -4 -3 |