Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312v |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-873463808 = -1 · 220 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 1 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,2465] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:64:1] |
Generators of the group modulo torsion |
j |
-208537/68 |
j-invariant |
L |
4.4134956120607 |
L(r)(E,1)/r! |
Ω |
1.4918968405612 |
Real period |
R |
0.73957788032913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bz1 1666e1 53312b1 |
Quadratic twists by: -4 8 -7 |