Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944bz |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
102798015005196288 = 238 · 39 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202764,-31576048] |
[a1,a2,a3,a4,a6] |
Generators |
[-65205856:-183293892:205379] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
5.5206789222507 |
L(r)(E,1)/r! |
Ω |
0.22661433646168 |
Real period |
R |
12.180780369966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10944bg1 2736v1 3648v1 |
Quadratic twists by: -4 8 -3 |