Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bo |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1546140123136 = -1 · 217 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 2 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20972,1170512] |
[a1,a2,a3,a4,a6] |
Generators |
[112:476:1] |
Generators of the group modulo torsion |
j |
-3241463778/4913 |
j-invariant |
L |
6.7767948112888 |
L(r)(E,1)/r! |
Ω |
0.84605824063406 |
Real period |
R |
0.44499135230377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312j1 13328b1 53312bq1 |
Quadratic twists by: -4 8 -7 |