Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162r |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3339139266268592472 = -1 · 23 · 34 · 78 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,130133,-85986511] |
[a1,a2,a3,a4,a6] |
Generators |
[2946164:-633614799:64] |
Generators of the group modulo torsion |
j |
5180411077127/70976229912 |
j-invariant |
L |
6.9927964277356 |
L(r)(E,1)/r! |
Ω |
0.12303856962463 |
Real period |
R |
9.4723636242268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296df3 45486l3 106134db3 798b4 |
Quadratic twists by: -4 -3 -7 -19 |