Atkin-Lehner |
2- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40432r |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18884593000448 = 213 · 72 · 196 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60768,5741812] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:2888:1] |
Generators of the group modulo torsion |
j |
128787625/98 |
j-invariant |
L |
3.9261387597284 |
L(r)(E,1)/r! |
Ω |
0.68182652834943 |
Real period |
R |
1.4395665893313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5054c2 112c2 |
Quadratic twists by: -4 -19 |