Atkin-Lehner |
2- 7+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100016m |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-40450835898368 = -1 · 213 · 76 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2131,-308334] |
[a1,a2,a3,a4,a6] |
Generators |
[674:2655:8] |
Generators of the group modulo torsion |
j |
-261284780457/9875692358 |
j-invariant |
L |
3.5349860558462 |
L(r)(E,1)/r! |
Ω |
0.2816041511712 |
Real period |
R |
6.276516243715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12502a2 |
Quadratic twists by: -4 |