Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248s |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1112832 |
Modular degree for the optimal curve |
Δ |
-2011817982699241472 = -1 · 219 · 72 · 238 |
Discriminant |
Eigenvalues |
2- 1 4 7+ 0 2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,296064,28601012] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:770:1] |
Generators of the group modulo torsion |
j |
8947391/6272 |
j-invariant |
L |
9.307212119313 |
L(r)(E,1)/r! |
Ω |
0.16585110193213 |
Real period |
R |
4.6764899414087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7406h1 59248ba1 |
Quadratic twists by: -4 -23 |