Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588h |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-10139588169984 = -1 · 28 · 314 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 2 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,897,152854] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:378:1] |
Generators of the group modulo torsion |
j |
2530736/321489 |
j-invariant |
L |
5.2672341190117 |
L(r)(E,1)/r! |
Ω |
0.55661074138389 |
Real period |
R |
2.365761980228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14196i1 42588q1 |
Quadratic twists by: -3 13 |