Atkin-Lehner |
2- 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556k |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38304 |
Modular degree for the optimal curve |
Δ |
15994812615936 = 28 · 3 · 77 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17501,864303] |
[a1,a2,a3,a4,a6] |
Generators |
[66:33:1] |
Generators of the group modulo torsion |
j |
2315779240321024/62479736781 |
j-invariant |
L |
5.3722679685378 |
L(r)(E,1)/r! |
Ω |
0.69479397320885 |
Real period |
R |
2.5773913686127 |
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 |
70224bt1 52668p1 122892l1 |
Quadratic twists by: -4 -3 -7 |