Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576w |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
29710727424 = 28 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-831,-4030] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:54:1] [-19:70:1] |
Generators of the group modulo torsion |
j |
340062928/159201 |
j-invariant |
L |
5.2129586346694 |
L(r)(E,1)/r! |
Ω |
0.93047460679042 |
Real period |
R |
1.4006181889933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19152v2 76608bc2 3192a2 67032ce2 |
Quadratic twists by: -4 8 -3 -7 |