Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090l |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1528829779973832000 = -1 · 26 · 316 · 53 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,288000,-216000] |
[a1,a2,a3,a4,a6] |
Generators |
[183:7563:1] |
Generators of the group modulo torsion |
j |
3623871578116607999/2097160192008000 |
j-invariant |
L |
3.342082595509 |
L(r)(E,1)/r! |
Ω |
0.16001853767829 |
Real period |
R |
2.6106995508141 |
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 |
9030ba2 |
Quadratic twists by: -3 |