Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424z |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-4.0549089920782E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4264203,3525013690] |
[a1,a2,a3,a4,a6] |
Generators |
[13280145:-4327806208:125] |
Generators of the group modulo torsion |
j |
-2871771293482144201/135798081707008 |
j-invariant |
L |
7.7823178119019 |
L(r)(E,1)/r! |
Ω |
0.16663962167136 |
Real period |
R |
11.675371280095 |
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 |
6678r1 5936l1 |
Quadratic twists by: -4 -3 |