Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27552b |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
78092066304 = 29 · 312 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3304,72964] |
[a1,a2,a3,a4,a6] |
j |
7793011291976/152523567 |
j-invariant |
L |
1.0863259543417 |
L(r)(E,1)/r! |
Ω |
1.0863259543426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27552u3 55104bi4 82656bk3 |
Quadratic twists by: -4 8 -3 |