Atkin-Lehner |
2+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58144a |
Isogeny class |
Conductor |
58144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
171175936 = 212 · 232 · 79 |
Discriminant |
Eigenvalues |
2+ 1 -1 3 0 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-529] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-92:1] |
Generators of the group modulo torsion |
j |
113379904/41791 |
j-invariant |
L |
6.8626718401067 |
L(r)(E,1)/r! |
Ω |
1.3811095830898 |
Real period |
R |
0.62111941769913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58144b1 116288p1 |
Quadratic twists by: -4 8 |