Atkin-Lehner |
13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7163c |
Isogeny class |
Conductor |
7163 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18522393409 = 132 · 194 · 292 |
Discriminant |
Eigenvalues |
-1 0 -2 -4 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2841,58616] |
[a1,a2,a3,a4,a6] |
Generators |
[4:215:1] |
Generators of the group modulo torsion |
j |
2535094148458977/18522393409 |
j-invariant |
L |
1.3038753513977 |
L(r)(E,1)/r! |
Ω |
1.2308930361864 |
Real period |
R |
2.1185843335949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114608l2 64467p2 93119h2 |
Quadratic twists by: -4 -3 13 |