Atkin-Lehner |
5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44965b |
Isogeny class |
Conductor |
44965 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
-180881351871875 = -1 · 55 · 17 · 237 |
Discriminant |
Eigenvalues |
1 3 5+ -4 -1 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18085,1142516] |
[a1,a2,a3,a4,a6] |
Generators |
[8610:145931:216] |
Generators of the group modulo torsion |
j |
-4419017721/1221875 |
j-invariant |
L |
9.788060975302 |
L(r)(E,1)/r! |
Ω |
0.54065698231818 |
Real period |
R |
4.5260032217251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1955b1 |
Quadratic twists by: -23 |