Atkin-Lehner |
2+ 3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090bo |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
269007298560000 = 216 · 38 · 54 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20889,-847827] |
[a1,a2,a3,a4,a6] |
j |
1382804639990929/369008640000 |
j-invariant |
L |
1.6201002010501 |
L(r)(E,1)/r! |
Ω |
0.4050250658959 |
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 |
30030bl1 |
Quadratic twists by: -3 |