Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784q |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
15 |
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 |
2.6483026726151 |
L(r)(E,1)/r! |
Ω |
0.17655351150767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14784ch2 924h2 44352cs2 103488dn2 |
Quadratic twists by: -4 8 -3 -7 |