Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800cp |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.1415E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-431403675,3448606898250] |
[a1,a2,a3,a4,a6] |
Generators |
[1463138:621853553:8] |
Generators of the group modulo torsion |
j |
5138442430700033888523/413281250000000 |
j-invariant |
L |
8.2101372697295 |
L(r)(E,1)/r! |
Ω |
0.086127524495582 |
Real period |
R |
11.91566999552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10350ba2 82800ci2 16560bc2 |
Quadratic twists by: -4 -3 5 |