Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958l |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
-13035959853816384 = -1 · 26 · 32 · 172 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 2 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,48922,-3561516] |
[a1,a2,a3,a4,a6] |
Generators |
[220:-4342:1] |
Generators of the group modulo torsion |
j |
165348311/166464 |
j-invariant |
L |
3.6213968746043 |
L(r)(E,1)/r! |
Ω |
0.21677287807203 |
Real period |
R |
0.69608125233433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958e1 |
Quadratic twists by: -23 |