Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775bm |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-5157261235546875 = -1 · 313 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,29167,2864693] |
[a1,a2,a3,a4,a6] |
j |
143360000000/269440587 |
j-invariant |
L |
0.59304739035594 |
L(r)(E,1)/r! |
Ω |
0.29652369503721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775ca1 47775cw1 |
Quadratic twists by: 5 -7 |