Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576w |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
125656272 = 24 · 310 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-426,3341] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:81:1] [1:54:1] |
Generators of the group modulo torsion |
j |
733001728/10773 |
j-invariant |
L |
5.2129586346694 |
L(r)(E,1)/r! |
Ω |
1.8609492135808 |
Real period |
R |
1.4006181889933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152v1 76608bc1 3192a1 67032ce1 |
Quadratic twists by: -4 8 -3 -7 |