Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5046f |
Isogeny class |
Conductor |
5046 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-189648864 = -1 · 25 · 35 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 0 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1004,12170] |
[a1,a2,a3,a4,a6] |
Generators |
[12:37:1] |
Generators of the group modulo torsion |
j |
-4582567781/7776 |
j-invariant |
L |
3.4042119869036 |
L(r)(E,1)/r! |
Ω |
1.7937139344761 |
Real period |
R |
0.18978566879997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368y2 15138bd2 126150ck2 5046k2 |
Quadratic twists by: -4 -3 5 29 |