Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240bh |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8573566575594746880 = -1 · 210 · 324 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,455280,-76434480] |
[a1,a2,a3,a4,a6] |
Generators |
[168:2196:1] |
Generators of the group modulo torsion |
j |
10191978981888338876/8372623608979245 |
j-invariant |
L |
5.4703767990903 |
L(r)(E,1)/r! |
Ω |
0.12856402951536 |
Real period |
R |
3.5458186475328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480o4 73920b3 27720c3 46200m3 |
Quadratic twists by: -4 8 -3 5 |