Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802cm |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
12776400 |
Modular degree for the optimal curve |
Δ |
-6.9056981988429E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80483171,-305299275613] |
[a1,a2,a3,a4,a6] |
Generators |
[1480219:1800123634:1] |
Generators of the group modulo torsion |
j |
-279982582954788217/33535104647168 |
j-invariant |
L |
7.3851545115391 |
L(r)(E,1)/r! |
Ω |
0.025034277207225 |
Real period |
R |
7.5641463352696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978e1 53802bs1 |
Quadratic twists by: -3 -7 |