Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248j |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2278782506585088 = -1 · 210 · 39 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26715,2845978] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-1116:1] |
Generators of the group modulo torsion |
j |
-2824631270500/3052638603 |
j-invariant |
L |
4.7205071205138 |
L(r)(E,1)/r! |
Ω |
0.41878141417787 |
Real period |
R |
1.4090009013953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15624l2 124992es2 10416g2 |
Quadratic twists by: -4 8 -3 |