Atkin-Lehner |
3- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835bn |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-33259644495 = -1 · 310 · 5 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,576,6835] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:59:1] |
Generators of the group modulo torsion |
j |
28962726911/45623655 |
j-invariant |
L |
7.7604792402711 |
L(r)(E,1)/r! |
Ω |
0.79445678363184 |
Real period |
R |
2.4420709219981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945d1 |
Quadratic twists by: -3 |