Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784r |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-5734461663608832 = -1 · 220 · 32 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52673,-5892159] |
[a1,a2,a3,a4,a6] |
Generators |
[515:10164:1] |
Generators of the group modulo torsion |
j |
-61653281712625/21875235228 |
j-invariant |
L |
4.1591303628985 |
L(r)(E,1)/r! |
Ω |
0.15480961437596 |
Real period |
R |
0.74628051645958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14784cc3 462g3 44352bt3 103488dp3 |
Quadratic twists by: -4 8 -3 -7 |