Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950d |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
12520872000000000 = 212 · 33 · 59 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87792,8463616] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:4048:1] |
Generators of the group modulo torsion |
j |
177381177331203/29679104000 |
j-invariant |
L |
3.0710257773283 |
L(r)(E,1)/r! |
Ω |
0.38194513158399 |
Real period |
R |
1.0050611735083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40950cy3 8190bf1 |
Quadratic twists by: -3 5 |