Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bt |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
524296650752 = 218 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2156,16464] |
[a1,a2,a3,a4,a6] |
Generators |
[74:512:1] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
3.9891147183214 |
L(r)(E,1)/r! |
Ω |
0.82694891254328 |
Real period |
R |
2.4119474962988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312o1 13328o1 1088k1 |
Quadratic twists by: -4 8 -7 |