Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784ch |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1443866386895944704 = -1 · 210 · 33 · 715 · 11 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,239911,-35927937] |
[a1,a2,a3,a4,a6] |
j |
1491325446082364672/1410025768453071 |
j-invariant |
L |
3.9741843977019 |
L(r)(E,1)/r! |
Ω |
0.1471920147297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14784q2 3696m2 44352dr2 103488gt2 |
Quadratic twists by: -4 8 -3 -7 |