Atkin-Lehner |
3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21675n |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
122620736267578125 = 32 · 59 · 178 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 3 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-204708,-31348807] |
[a1,a2,a3,a4,a6] |
Generators |
[-2502:11267:8] |
Generators of the group modulo torsion |
j |
69632/9 |
j-invariant |
L |
7.9232327358252 |
L(r)(E,1)/r! |
Ω |
0.22635964098234 |
Real period |
R |
2.9169042316321 |
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 |
65025cn1 21675bb1 21675y1 |
Quadratic twists by: -3 5 17 |