Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960de |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
4096 |
Product of Tamagawa factors cp |
Δ |
-3.555348779934E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,529417280,7766550006068] |
[a1,a2,a3,a4,a6] |
Generators |
[-5782:2124192:1] |
Generators of the group modulo torsion |
j |
4006434994624229826804102719/8680050732260742187500000 |
j-invariant |
L |
8.8469917739301 |
L(r)(E,1)/r! |
Ω |
0.025440275568778 |
Real period |
R |
5.4336772446335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000896 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
9870p6 |
Quadratic twists by: -4 |