Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
9270w |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-172065164328000 = -1 · 26 · 39 · 53 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9283,-531259] |
[a1,a2,a3,a4,a6] |
Generators |
[51:244:1] |
Generators of the group modulo torsion |
j |
121368251219831/236029032000 |
j-invariant |
L |
6.7258709399745 |
L(r)(E,1)/r! |
Ω |
0.2985777606426 |
Real period |
R |
0.93859844717099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74160bl2 3090b2 46350h2 |
Quadratic twists by: -4 -3 5 |