Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150z |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
117067951125000000 = 26 · 32 · 59 · 1014 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9605313,-11462163969] |
[a1,a2,a3,a4,a6] |
Generators |
[4395:174552:1] |
Generators of the group modulo torsion |
j |
6272465093863725846601/7492348872000 |
j-invariant |
L |
6.2889335580039 |
L(r)(E,1)/r! |
Ω |
0.085757419676221 |
Real period |
R |
1.5277914099998 |
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 |
121200dh4 45450m4 3030n3 |
Quadratic twists by: -4 -3 5 |