Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872bc |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
93583390304894976 = 232 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29049377,60253676895] |
[a1,a2,a3,a4,a6] |
Generators |
[3061:4860:1] |
Generators of the group modulo torsion |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
5.487052797444 |
L(r)(E,1)/r! |
Ω |
0.24932349341038 |
Real period |
R |
1.8339803984471 |
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 |
7872b1 1968e1 23616cd1 |
Quadratic twists by: -4 8 -3 |