Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864w |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
-160885578118680576 = -1 · 212 · 37 · 7 · 376 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14111,19292111] |
[a1,a2,a3,a4,a6] |
Generators |
[-3995:-542124:125] [-55:4284:1] |
Generators of the group modulo torsion |
j |
75858868818368/39278705595381 |
j-invariant |
L |
8.0739009735588 |
L(r)(E,1)/r! |
Ω |
0.25168475562736 |
Real period |
R |
1.5275914267155 |
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 |
24864t2 49728cv1 74592j2 |
Quadratic twists by: -4 8 -3 |