Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640n |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3732624000000 = 210 · 32 · 56 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3920,-15600] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:230:1] |
Generators of the group modulo torsion |
j |
6507178816324/3645140625 |
j-invariant |
L |
6.0722150476866 |
L(r)(E,1)/r! |
Ω |
0.64840985826516 |
Real period |
R |
0.78039825303446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320k2 115920be2 |
Quadratic twists by: -4 -3 |