Atkin-Lehner |
3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21675s |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
44143465056328125 = 34 · 57 · 178 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 5 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-327533,71328344] |
[a1,a2,a3,a4,a6] |
Generators |
[-482:10837:1] |
Generators of the group modulo torsion |
j |
35651584/405 |
j-invariant |
L |
4.8590586449182 |
L(r)(E,1)/r! |
Ω |
0.36159968963631 |
Real period |
R |
0.55990307147449 |
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 |
65025by1 4335a1 21675b1 |
Quadratic twists by: -3 5 17 |