Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40040k |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4580576000000 = 211 · 56 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50016,4287520] |
[a1,a2,a3,a4,a6] |
Generators |
[131:26:1] |
Generators of the group modulo torsion |
j |
6756617161135298/2236609375 |
j-invariant |
L |
3.5889898351418 |
L(r)(E,1)/r! |
Ω |
0.75812916319572 |
Real period |
R |
2.3670042054667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080i2 |
Quadratic twists by: -4 |