Atkin-Lehner |
3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775be |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-1141700823046875 = -1 · 3 · 58 · 78 · 132 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 0 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4873458,4142613068] |
[a1,a2,a3,a4,a6] |
Generators |
[1267:487:1] |
Generators of the group modulo torsion |
j |
-5684485058560/507 |
j-invariant |
L |
2.498360523339 |
L(r)(E,1)/r! |
Ω |
0.37422123686408 |
Real period |
R |
1.1126931866371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775bx1 47775dm1 |
Quadratic twists by: 5 -7 |