Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416c |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-289314816 = -1 · 211 · 3 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56,784] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] [0:28:1] |
Generators of the group modulo torsion |
j |
9314926/141267 |
j-invariant |
L |
4.7907796364193 |
L(r)(E,1)/r! |
Ω |
1.2858175036075 |
Real period |
R |
0.93146570624893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5208f2 41664dm2 31248l2 72912t2 |
Quadratic twists by: -4 8 -3 -7 |