Atkin-Lehner |
3- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15477b |
Isogeny class |
Conductor |
15477 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
289590147 = 36 · 72 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-314,1953] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:58:1] [-8:67:1] |
Generators of the group modulo torsion |
j |
3424515194017/289590147 |
j-invariant |
L |
4.7104236338426 |
L(r)(E,1)/r! |
Ω |
1.689767663709 |
Real period |
R |
0.46460269213412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46431h2 108339c2 |
Quadratic twists by: -3 -7 |