Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424z |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.5817523395624E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68983563,220529027770] |
[a1,a2,a3,a4,a6] |
Generators |
[598705:-29664:125] |
Generators of the group modulo torsion |
j |
12158306898176952482761/25391135182112 |
j-invariant |
L |
7.7823178119019 |
L(r)(E,1)/r! |
Ω |
0.16663962167136 |
Real period |
R |
5.8376856400473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6678r2 5936l2 |
Quadratic twists by: -4 -3 |