Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90354u |
Isogeny class |
Conductor |
90354 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-1626372 = -1 · 22 · 33 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[2:5:1] |
Generators of the group modulo torsion |
j |
1586375/1188 |
j-invariant |
L |
13.219313097876 |
L(r)(E,1)/r! |
Ω |
1.4920231913341 |
Real period |
R |
1.4766652852133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90354h1 |
Quadratic twists by: 37 |