Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784bv |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
203214985204137984 = 216 · 36 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2347969,1385411809] |
[a1,a2,a3,a4,a6] |
Generators |
[-691:51744:1] |
Generators of the group modulo torsion |
j |
21843440425782779332/3100814593569 |
j-invariant |
L |
3.3600727744452 |
L(r)(E,1)/r! |
Ω |
0.30606734558674 |
Real period |
R |
1.8297023094726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14784bf2 3696i2 44352dl2 103488ir2 |
Quadratic twists by: -4 8 -3 -7 |