Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400bn |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1593249817600000000 = 216 · 58 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-919075,-333654750] |
[a1,a2,a3,a4,a6] |
Generators |
[-585:1950:1] |
Generators of the group modulo torsion |
j |
1341518286067569/24894528400 |
j-invariant |
L |
7.0132826171704 |
L(r)(E,1)/r! |
Ω |
0.15436582226058 |
Real period |
R |
3.7860726522125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8050e2 12880m2 |
Quadratic twists by: -4 5 |