Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958o |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
7307208192 = 29 · 3 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -4 5 -4 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28312,-1845440] |
[a1,a2,a3,a4,a6] |
Generators |
[-6252:3149:64] |
Generators of the group modulo torsion |
j |
8969081798761/26112 |
j-invariant |
L |
3.1246638866245 |
L(r)(E,1)/r! |
Ω |
0.36804845231071 |
Real period |
R |
2.8299388909251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53958f1 |
Quadratic twists by: -23 |