Atkin-Lehner |
3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27075a |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11941567763203125 = 32 · 57 · 198 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-156270883,-751856790207] |
[a1,a2,a3,a4,a6] |
Generators |
[-7217:1:1] |
Generators of the group modulo torsion |
j |
1590409933520896/45 |
j-invariant |
L |
3.095749754484 |
L(r)(E,1)/r! |
Ω |
0.042700212657023 |
Real period |
R |
3.0208180493051 |
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 |
81225o2 5415j2 27075p2 |
Quadratic twists by: -3 5 -19 |