Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296bz |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
319721472 = 212 · 33 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8505,299079] |
[a1,a2,a3,a4,a6] |
Generators |
[39:168:1] |
Generators of the group modulo torsion |
j |
16612606588096/78057 |
j-invariant |
L |
5.767931734687 |
L(r)(E,1)/r! |
Ω |
1.517241286527 |
Real period |
R |
0.63359860058782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bu2 39648b1 |
Quadratic twists by: -4 8 |