Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235bn |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-258829900875 = -1 · 36 · 53 · 75 · 132 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -3 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-117,24482] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:31:1] [12:-158:1] |
Generators of the group modulo torsion |
j |
-1437696/2100875 |
j-invariant |
L |
5.6668100755439 |
L(r)(E,1)/r! |
Ω |
0.79176701692937 |
Real period |
R |
0.11928614424817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5915c1 53235k1 |
Quadratic twists by: -3 13 |