Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472z |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-57925435392 = -1 · 221 · 34 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 11- -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223,11583] |
[a1,a2,a3,a4,a6] |
Generators |
[67:576:1] |
Generators of the group modulo torsion |
j |
4657463/220968 |
j-invariant |
L |
9.9493792793177 |
L(r)(E,1)/r! |
Ω |
0.84500193536272 |
Real period |
R |
0.73589914877607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65472bl1 2046a1 |
Quadratic twists by: -4 8 |