Atkin-Lehner |
5- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13195j |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-287346252197265625 = -1 · 512 · 72 · 134 · 292 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,164768,1524964] |
[a1,a2,a3,a4,a6] |
Generators |
[1397:53676:1] |
Generators of the group modulo torsion |
j |
494703284298382235439/287346252197265625 |
j-invariant |
L |
3.1416217668497 |
L(r)(E,1)/r! |
Ω |
0.18547912985311 |
Real period |
R |
1.4114893363554 |
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 |
118755d3 65975c3 92365c3 |
Quadratic twists by: -3 5 -7 |