Atkin-Lehner |
2+ 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17290c |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-80484950 = -1 · 2 · 52 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3003,62107] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:302:1] [-9:302:1] |
Generators of the group modulo torsion |
j |
-2996509495178809/80484950 |
j-invariant |
L |
4.415781256963 |
L(r)(E,1)/r! |
Ω |
1.7892666896316 |
Real period |
R |
0.20566066173709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450be1 121030u1 |
Quadratic twists by: 5 -7 |