Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360k |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
373263751065600 = 212 · 312 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327612,72169184] |
[a1,a2,a3,a4,a6] |
Generators |
[325:153:1] |
Generators of the group modulo torsion |
j |
1302313788921664/125005275 |
j-invariant |
L |
6.7175660296316 |
L(r)(E,1)/r! |
Ω |
0.51321129712147 |
Real period |
R |
3.2723198355675 |
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 |
27360bh2 54720bf1 9120l2 |
Quadratic twists by: -4 8 -3 |