Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450v |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1489222341000000000 = -1 · 29 · 38 · 59 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 7 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15417,-58714259] |
[a1,a2,a3,a4,a6] |
Generators |
[4462:80119:8] |
Generators of the group modulo torsion |
j |
-35578826569/130741056000 |
j-invariant |
L |
3.8947026884925 |
L(r)(E,1)/r! |
Ω |
0.12190108432637 |
Real period |
R |
2.6624747365284 |
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 |
9150t2 5490w2 |
Quadratic twists by: -3 5 |