Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675t |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-797961591796875 = -1 · 3 · 510 · 11 · 195 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 11- -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6042,-1345006] |
[a1,a2,a3,a4,a6] |
Generators |
[354290:6736867:1000] |
Generators of the group modulo torsion |
j |
2497433600/81711267 |
j-invariant |
L |
2.5857798857748 |
L(r)(E,1)/r! |
Ω |
0.24247499000905 |
Real period |
R |
10.664109670355 |
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 |
47025o2 15675o1 |
Quadratic twists by: -3 5 |