Atkin-Lehner |
3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21675u |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2467584 |
Modular degree for the optimal curve |
Δ |
6.2076747735461E+21 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 -1 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4626408,-549552031] |
[a1,a2,a3,a4,a6] |
Generators |
[-966:21671:8] |
Generators of the group modulo torsion |
j |
100471803904/56953125 |
j-invariant |
L |
11.009906910317 |
L(r)(E,1)/r! |
Ω |
0.11108620857236 |
Real period |
R |
2.7530937587955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025cb1 4335b1 21675g1 |
Quadratic twists by: -3 5 17 |