Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784be |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
867491057664 = 212 · 36 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2409,7191] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:231:1] |
Generators of the group modulo torsion |
j |
377619516352/211789809 |
j-invariant |
L |
5.3810314522405 |
L(r)(E,1)/r! |
Ω |
0.76767392398829 |
Real period |
R |
0.5841272885199 |
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 |
14784j2 7392l1 44352cm2 103488u2 |
Quadratic twists by: -4 8 -3 -7 |