Atkin-Lehner |
2+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116242i |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-222525153924928876 = -1 · 22 · 76 · 197 · 232 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,86993,20441790] |
[a1,a2,a3,a4,a6] |
Generators |
[809:24504:1] |
Generators of the group modulo torsion |
j |
1547612421263/4729960396 |
j-invariant |
L |
2.397104131557 |
L(r)(E,1)/r! |
Ω |
0.22196848390366 |
Real period |
R |
1.3499124277802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118h2 |
Quadratic twists by: -19 |