Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950cy |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1140333626250000 = 24 · 33 · 57 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219755,39672747] |
[a1,a2,a3,a4,a6] |
j |
2781982314427707/2703013040 |
j-invariant |
L |
3.8868609680164 |
L(r)(E,1)/r! |
Ω |
0.48585762100145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40950d3 8190b1 |
Quadratic twists by: -3 5 |