Atkin-Lehner |
2+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4862b |
Isogeny class |
Conductor |
4862 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-330616 = -1 · 23 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -3 -3 11+ 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[7:5:1] |
Generators of the group modulo torsion |
j |
-1986121593/330616 |
j-invariant |
L |
1.8083671359489 |
L(r)(E,1)/r! |
Ω |
1.0456934065826 |
Real period |
R |
0.86467368186757 |
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 |
38896l1 43758x1 121550bb1 53482k1 |
Quadratic twists by: -4 -3 5 -11 |