Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40950ei |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-816181984800 = -1 · 25 · 36 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1580,50127] |
[a1,a2,a3,a4,a6] |
Generators |
[33:165:1] |
Generators of the group modulo torsion |
j |
-23920470625/44783648 |
j-invariant |
L |
9.6411548579107 |
L(r)(E,1)/r! |
Ω |
0.79694726339885 |
Real period |
R |
0.30244017705743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550i1 40950bu1 |
Quadratic twists by: -3 5 |