Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775v |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-621075 = -1 · 3 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 0 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3978,-95257] |
[a1,a2,a3,a4,a6] |
Generators |
[191368393042:-2387427135515:1054977832] |
Generators of the group modulo torsion |
j |
-5684485058560/507 |
j-invariant |
L |
10.790918370188 |
L(r)(E,1)/r! |
Ω |
0.3005690540619 |
Real period |
R |
17.950814004901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775dm1 47775bx1 |
Quadratic twists by: 5 -7 |