Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950c |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-15049125000 = -1 · 23 · 33 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,483,4141] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:23:1] |
Generators of the group modulo torsion |
j |
29503629/35672 |
j-invariant |
L |
4.5106731206821 |
L(r)(E,1)/r! |
Ω |
0.83358008014989 |
Real period |
R |
2.7056027537702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40950cx2 1638n1 |
Quadratic twists by: -3 5 |