Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296r |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.9836445649331E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,363768,328863312] |
[a1,a2,a3,a4,a6] |
Generators |
[-1338:475930:27] |
Generators of the group modulo torsion |
j |
55251546334/517244049 |
j-invariant |
L |
8.8582922763511 |
L(r)(E,1)/r! |
Ω |
0.14705859202179 |
Real period |
R |
7.5295602933209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648o3 6384p4 |
Quadratic twists by: -4 -19 |