Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784u |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1402469376 = -1 · 210 · 3 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217,-2111] |
[a1,a2,a3,a4,a6] |
Generators |
[24:77:1] |
Generators of the group modulo torsion |
j |
-1108671232/1369599 |
j-invariant |
L |
3.2772519172095 |
L(r)(E,1)/r! |
Ω |
0.59389886592029 |
Real period |
R |
0.61313318278172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14784ce2 924g2 44352cg2 103488eg2 |
Quadratic twists by: -4 8 -3 -7 |