Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
42504y |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16321536 = 210 · 32 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340032,-76431600] |
[a1,a2,a3,a4,a6] |
j |
4246043140769810692/15939 |
j-invariant |
L |
3.1632934596338 |
L(r)(E,1)/r! |
Ω |
0.19770584123571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008h4 127512v4 |
Quadratic twists by: -4 -3 |