Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40248j |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
1.9957334399606E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7553946,-4202480279] |
[a1,a2,a3,a4,a6] |
Generators |
[3036:29111:1] |
Generators of the group modulo torsion |
j |
4086935924979581483008/1711019753052668253 |
j-invariant |
L |
5.5773211068549 |
L(r)(E,1)/r! |
Ω |
0.094519429337161 |
Real period |
R |
4.9172615848807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496k1 13416g1 |
Quadratic twists by: -4 -3 |