Atkin-Lehner |
3+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40887d |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2482290657 = -1 · 33 · 74 · 11 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11- -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,2398] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:49:1] |
Generators of the group modulo torsion |
j |
-421875/91936691 |
j-invariant |
L |
2.5638468465205 |
L(r)(E,1)/r! |
Ω |
1.1529444988745 |
Real period |
R |
1.1118691528608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40887a2 |
Quadratic twists by: -3 |