Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235q |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-24255196875 = -1 · 38 · 55 · 7 · 132 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2028,-35942] |
[a1,a2,a3,a4,a6] |
Generators |
[64:310:1] |
Generators of the group modulo torsion |
j |
-7487094784/196875 |
j-invariant |
L |
4.0535244089427 |
L(r)(E,1)/r! |
Ω |
0.35516364654076 |
Real period |
R |
2.8532793604094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745h1 53235bb1 |
Quadratic twists by: -3 13 |