Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448z |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
653150594304 = 28 · 39 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82944,9194364] |
[a1,a2,a3,a4,a6] |
Generators |
[165:27:1] |
Generators of the group modulo torsion |
j |
12524124635136/129623 |
j-invariant |
L |
5.0437836150073 |
L(r)(E,1)/r! |
Ω |
0.8232233715338 |
Real period |
R |
1.5317178111803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27612a1 110448w1 |
Quadratic twists by: -4 -3 |