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 |
826281000000000000 = 212 · 34 · 512 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-605313,-176163969] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:1712:1] |
Generators of the group modulo torsion |
j |
1569797865978006601/52881984000000 |
j-invariant |
L |
6.2889335580039 |
L(r)(E,1)/r! |
Ω |
0.17151483935244 |
Real period |
R |
3.0555828199997 |
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 |
121200dh2 45450m2 3030n2 |
Quadratic twists by: -4 -3 5 |