Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128bv |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17378891923456 = 217 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191884,32351760] |
[a1,a2,a3,a4,a6] |
j |
50668941906/1127 |
j-invariant |
L |
2.5589230634604 |
L(r)(E,1)/r! |
Ω |
0.63973076459423 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128a2 18032j2 10304bj2 |
Quadratic twists by: -4 8 -7 |