Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950fi |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1638307944000 = 26 · 38 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5990,-165963] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:95:1] |
Generators of the group modulo torsion |
j |
260794641869/17978688 |
j-invariant |
L |
9.5676571880788 |
L(r)(E,1)/r! |
Ω |
0.54504059397679 |
Real period |
R |
0.73141778289875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650t1 40950cd1 |
Quadratic twists by: -3 5 |